In "What's in a Name", the English translation of Zusha Wilhelm's sefer "Ziv HaShemot", the following is stated:

Some are particular not to marry a woman whose name is the same as one’s own.

However, the online version is printed without the footnotes, so I'm not sure who those sources are.

In "What's in a Name", the English translation of Zusha Wilhelm's sefer "Ziv HaShemot", the following is stated:

Some are particular not to marry a woman whose name is the same as one’s own. (See Maasei Ish, Choshen Mishpat 7; See also Sdei Chemed, entry on Chasan VeKallah paragraph 7; See also Otzar HaPoskim, Even HaEzer end of ch. 2, and the Testament of R. Yehudah HaChassid 21)

I got a hold of the printed book and added the sources to this answer. The book itself not only brings the sources, but quotes most of them.