Second Temple: Court of the Women Hebrew women could approach God but the Court of the Women was as far as they could enter.
Court of the Women by Edersheim
The Court of the Women obtained its name, not from its appropriation to the exclusive use of women, but because they were not allowed to proceed farther, except for sacrificial purposes. Indeed, this was probably the common place for worship, the females occupying, according to Jewish tradition, only a raised gallery along three sides of the court. This court covered a space upwards of 200 feet square. All around ran a simple colonnade, and within it, against the wall, the thirteen chests, or 'trumpets,' for charitable contributions were placed. These thirteen chests were narrow at the mouth and wide at the bottom, shaped like trumpets, whence their name. Their specific objects were carefully marked on them. Nine were for the receipt of what was legally due by worshippers; the other four for strictly voluntary gifts. Trumpets I and II were appropriated to the half-shekel Temple-tribute of the current and of the past year. Into Trumpet III those women who had to bring turtledoves for a burnt- and a sin-offering dropped their equivalent in money, which was daily taken out and a corresponding number of turtledoves offered. This not only saved the labour of so many separate sacrifices, but spared the modesty of those who might not wish to have the occasion or the circumstances of their offering to be publicly known. Into this trumpet Mary the mother of Jesus must have dropped the value of her offering (Luke 2:22,24) when the aged Simeon took the infant Saviour 'in his arms, and blessed God.' Trumpet IV similarly received the value of the offerings of young pigeons. In Trumpet V contributions for the wood used in the Temple; in Trumpet VI for the incense, and in Trumpet VII for the golden vessels for the ministry were deposited. If a man had put aside a certain sum for a sin-offering, and any money was left over after its purchase, it was cast into Trumpet VIII. Similarly, Trumpets IX, X, XI, XII, and XIII were destined for what was left over from trespass-offerings, offerings of birds, the offering of the Nazarite, of the cleansed leper, and voluntary offerings. In all probability this space where the thirteen Trumpets were placed was the 'treasury,' where Jesus taught on that memorable Feast of Tabernacles (John 7 and 8; see specially 8:20). We can also understand how, from the peculiar and known destination of each of these thirteen 'trumpets,' the Lord could distinguish the contributions of the rich who cast in 'of their abundance' from that of the poor widow who of her 'penury' had given 'all the living' that she had (Mark 12:41; Luke 21:1). But there was also a special treasury-chamber, into which at certain times they carried the contents of the thirteen chests; and, besides, what was called 'a chamber of the silent,' where devout persons secretly deposited money, afterwards secretly employed for educating children of the pious poor.
It is probably in ironical allusion to the form and name of these treasure-chests that the Lord, making use of the word 'trumpet,' describes the conduct of those who, in their almsgiving, sought glory from men as 'sounding a trumpet' before them (Matthew 6:2)--that is, carrying before them, as it were, in full display one of these trumpet-shaped alms-boxes (literally called in the Talmud, 'trumpets'), and, as it were, sounding it. *
The allusion is all the more pointed, when we bear in mind that each of these trumpets had a mark to tell its special object. It seems strange that this interpretation should not have occurred to any of the commentators, who have always found the allusion such a crux interpretum. An article in the Bible Educator has since substantially adopted this view, adding that trumpets were blown when the alms were collected. But for the latter statement there is no historical authority whatever, and it would contravene the religious spirit of the times. https://www.bible-history.com/jewishtemple/JEWISH_TEMPLEEdersheim__Within_the_Holy_Place.htm
Court of the Women in Herod's Temple ISBE
The eastern gate, approached from the outside by 12 steps (Mid., ii.3; Maimonides), admitted into the court of the women, so called because it was accessible to women as well as to men. Above its single colonnades were galleries reserved for the use of women. Its dimensions are given in the Mishna as 135 cubits square (Mid., ii.5), but this need not be precise. At its four corners were large roofless rooms for storage and other purposes. Near the pillars of the colonnades were 13 trumpet-shaped boxes for receiving the money-offerings of the people (compare the incident of the widow's mite, Mk 12:41 ff; Lk 21:1 ff); for which reason, and because this court seems to have been the place of deposit of the temple-treasures generally, it bore the name "treasury" (gazophulakion, Jn 8:20). https://www.bible-history.com/isbe/T/TEMPLE%2C+A2/
The Court of the Women in Herod's Temple
Heading east through the Inner Courts one would come to the Court of the Women. Its name is derived from the fact that Jewish women were admitted thus far (but no farther). In this court, at the west end, was the 'treasury', the section where there stood thirteen trumpet-shaped containers for voluntary offerings of money. Jesus was sitting ‘opposite the treasury' when he saw the widow put into one of the containers the two copper coins which were all that she had (Mark 12:41-44). Mark 12:41-44 "Now Jesus sat opposite the treasury and saw how the people put money into the treasury. And many who were rich put in much. Then one poor widow came and threw in two mites, which make a quadrans. So He called His disciples to Himself and said to them, "Assuredly, I say to you that this poor widow has put in more than all those who have given to the treasury; for they all put in out of their abundance, but she out of her poverty put in all that she had, her whole livelihood."
The Women's Court of Herod's Temple in Unger's Bible Dictionary
Entering by the E gate one came to the court of the women, a square of 135 cubits, separated from the court of the Israelites by a wall on the W side and having gates on the N and S sides for the women to enter by. These gates, as well as those on the E and W sides of this court, had rooms built over them to a height of 40 cubits, each room being ornamented with two pillars 12 cubits in circumference, and provided with double doors 30 cubits high and 40 wide, overlaid with gold and silver. According to Middoth 2.3, the gates, with the exception of the eastern one, were only 20 cubits high and 10 wide.
The eastern gate, called in the Talmud Nicanor's, or the great gate, was made of Corinthian brass and was regarded as the principal gate on account of its greater height (being 50 cubits) and width (40 cubits) and from its being more richly decorated with precious metals. It is undoubtedly the "gate of the temple which is called Beautiful" (Acts 3:2). Around the walls of the court, except the W side, ran porticoes (porches), the roof of which rested on lofty and highly finished pillars. In each corner was a room, used, respectively, for storing the wood deemed unfit to be burned on the altar; for those affected with leprosy to wash themselves; for storing sacrificial wine and oil; and that one in which the Nazirites shaved their hair and cooked the flesh of the consecration sacrifices. According to Josephus it was in some of the pillars of this court that the thirteen alms boxes were placed. https://www.bible-history.com/jewishtemple/JEWISH_TEMPLEUngers_Bible_Dictionary__Herods_.htm
The Women's Court Unroofed Chambers by Edersheim
In each of the four corners of the Court of the Women were chambers, or rather unroofed courts, each said to have been 60 feet long. In that at the right hand (on the north-east), the priests who were unfit for other than menial services on account of bodily blemishes, picked the worm-eaten wood from that destined for the altar. In the court at the farther angle (north-west) the purified lepers washed before presenting themselves to the priests at the Gate of Nicanor. At the left (south-east) the Nazarites polled their hair, and cooked their peace-offerings; while in a fourth court (at the south-west) the oil and wine were kept for the drink-offerings. The musical instruments used by the Levites were deposited in two rooms under the Court of the Israelites, to which the access was from the Court of the Women.
Of course the western colonnade of this court was open. Thence fifteen easy steps led through the so-called Gate of Nicanor into the Court of Israel. On these steps the Levites were wont on the Feast of Tabernacles to sing the fifteen 'Psalms of Degrees,' or ascent (Psalms 120 to 134), whence some have derived their name. Here, or, rather, in the Gate of Nicanor, all that was ordered to be done 'before the Lord' took place. There the cleansed leper and the women coming for purification presented themselves to the priests, and there also the 'water of jealousy' was given to the suspected wife. https://www.bible-history.com/jewishtemple/JEWISH_TEMPLEEdersheim__Within_the_Holy_Place.htm