For this headword's range of general and specific usages, see LSJ s.v. Photius, Lexicon tau509 Theodoridis, glosses it (with reference to New Comedy) with the phrase o( new/teros oi)kodespo/ths, "the junior master of the household"; cf. Pollux 3.73.
Trophimos is also copiously attested as a proper name from the late-Hellenistic period onwards. See e.g. Acts 20.4, 21.29; 2 Timothy 4.20.