Elizabeth Braddock is Psylocke's real name. She has a confusing back story but I don't think there's any difference between her hero form and her civilian form.
Arguably a benefit to keep them separate to distinguish appearances due to bodyswapping shenanigans, but it looks like all art we have tagged with Elizabeth Braddock is for the Kwannon body anyways. (And the Marvel rivals character is a different woman from historical Japan named Sai because of course she is).
