Close enough for Bryan Singer, maybe. Psylocke and Arclight weren't Morlocks, though, and Callisto didn't have super speed.
Arclight was actually a member of the Marauders and we all know their relationship to the Morlocks. On top of that, this all occurred in X-Men 3: The Last Stand *shivers*.
Yes. He and Callisto were the most prominent Morlocks. Movie Callisto not only had super powers, she possessed Caliban's mutant tracking ability, too.
I'd say Masque, Leach, and Famine, and the big strong guy whose name escapes me were the other named Morlocks (A version of Leach was also in X3). Marrow was another well known Morlock (they hinted at her in Deadpool).