If he has officially changed his first name to Michael, the the proper place to put his original first name of Maurice is in the biography. Michael was originally born as Maurice Joseph, or so on.
This statement can still be made if he didn't officially change is name. Another option, if he didn't, is to make Maurice is proper first name and Michael as his preferred first name.
Since he is known as Michael Caine, I would opt to make the statement in his biography that he was born as Maurice J. Micklewhite, but his stage name has been Michael J. Caine since ....