Some call displays show real names; seems a bit silly to use a fake name if your phone can't be discrete for you.
Name on call display: Rodrigo Rodriguez.
Name given by caller: Larry
??
I can't think of any good reason for an sp to give out their real name, regular client or not. The whole thing is fantasy, and divulging real names (when asked) may result in stalkers. Not really recommended, not really wise to get that comfortable with clients and certainly not necessary in order to provide a good time, after all.