And on the Ninth Day of Christmas, per the song, the gift is nine ladies dancing.
Tradition has at least a couple meanings here. First example, it has to do with the nine fruits of the Holy Ghost. The fruits are love, joy, peace, patience, kindness, generosity, faithfulness, gentleness, and self-control (Collins, 2021).
A second tradition is the nine ladies dancing represents the nine choirs of angels (CatholicsKnowTheAnswer, n.d.):
I tried to give full credit to this image, but it appears that page on Facebook, while you can still get to the images for now (Catholics Know the Answer, n.d.) the page itself is not accessible.
Saints of the Day - January 2nd
The Saints for today are Sts. Basil the Great and Gregory Nazianzus, Bishops and Doctors of the Church (Vatican News, 2017). These two were lifelong friends in the early 4th century and fought against the Arian Heresy.
Catholics Know The Answer, (n.d.). On the Ninth Day of Christmas. http://36qy.2.vu/1
Collins, A. (2021). The surprising meaning behind "The 12 Days of Christmas" lyrics. Crosswalk. https://www.crosswalk.com/special-coverage/christmas-and-advent/the-twelve-days-of-christmas.html
Vatican News, (2017). Sts. Basil the Great and Gregory Nazianzus, Bishops and Doctors of the Church. Vatican News. https://www.vaticannews.va/en/saints/01/02/sts--basil-the-great-and--gregory-nazianzus--bishops-and-doctors.html