Where were we first given the Angels' names?
Aside from the episode 14 "Weaving of a Story" where there is a quick recap of the show up to that point (up to the 11th Angel, although Ireul's name wasn't given in episode 14), and the proper names of the Angels are listed in the eye-catch text, there is also episode 23 where there's a recap of all the angels up to that point, including a picture of the Angel, the number, and name. It occurs right after the halfway point, see: https://wiki.evageeks.org/FGC:Episode_23_Cut_198 for the entire sequence.

This appeared during the original airing of the series on TV, and would be the first time the names are given for all the Angels to the viewer. Note that "Lilith"'s second Angel designation never appears in the TV series, "Kaworu" doesn't appear until episode 24, and the name "Tabris" never appears in the TV series either.