Nor is it without some mysterious allusion, that the marriage is related as taking-place on the third day. The first age of the world, before the giving of the Law, was enlightened by the example of the Patriarchs; the second, under the Law, by the writings of the Prophets; the third, under grace, by the preaching of the Evangelists, as if by the light of the third day; for our Lord had now appeared in the flesh. The name of the place too where the marriage was held, Cana of Galilee, which means, desire of migrating, has a typical signification, viz. that those are most worthy of Christ, who burn with devotional desires, and have known the passage from vice to virtue, from earthly to eternal things. The wine was made to fail, to give our Lord the opportunity of making better; that so the glory of God in man might be brought out of its hiding place: And when they wanted wine, the mother of Jesus saith unto Him, They have no wine.
Reproduced in full. Translation: Oxford 1841 (Newman), public domain (Public domain).
Also cites: in loc.