Thank you. So, you work from the list that was in ro.wiki... I did not trust they did a perfect job there, so I started on my own. I just finished Edinet district at List of localities in Moldova. With that I've done 13 (the first 13 alphabetically), and there are 19 to go. 
For 4 of the 13 (Donduseni, Drochia, Dubasari and Edinet) I did also a little bit more: I looked into the 1930 map and 1930 tables, and I have identified the former names. (A few current hamlets do not appear in 1930, so those have no former names.) This is a very interesting process and I kind of like it (I like reading maps), but it is too much time consuming, so I guess I won't do this now for the rest. (Will do it sometimes later.) 
Also, perhaps I shouldn't fill in now more data as I did for Drochia district (I did it there mostly because I wanted to have one-two districts done well.) I am afraid if I don't get to the bottom of the 32... 19 is still a large number... \talk