Did St. Augustine Write about the Assumption of the Virgin Mary?

I am currently investigating Catholic/Protestant theological differences. In trying to understand arguments about the immaculate conception of Mary, I began reading St. Thomas Aquinas, when I stumbled across something unusual. In [*Summa Theologica*, Part 3, Question 7, Article 1](https://www.newadvent.org/summa/4027.htm#article1) , Aquinas addresses the issue of Mary's sanctification before birth. Aquinas references St. Augustine, supposedly in a work on Mary's Assumption: >I answer that, Nothing is handed down in the canonical Scriptures concerning the sanctification of the Blessed Mary as to her being sanctified in the womb; indeed, they do not even mention her birth. **But as Augustine, in his tractate on the Assumption of the Virgin, argues with reason, since her body was assumed into heaven, and yet Scripture does not relate this;** so it may be reasonably argued that she was sanctified in the womb. My question is this: **Did St. Augustine write a tractate on the Assumption of Mary?** I am aware that the Assumption is generally considered a late belief (and the earliest explicit quote I could find is from Epiphanius in 350AD, although it is debated). I imagine if a father as prominent as St. Augustine wrote a whole tractate on the belief, that would be a major piece of evidence. Is it perhaps a lost work of his, or maybe a medieval forgery that Aquinas thought was real? Any information would be appreciated.