Possibly you have the impression
Sheila is stereotyped as new agey, because it is pronounced the same as
Shila and
Sheela, which are Sanskrit names, and which turn up in "New
Age" contexts because of the big influence Hindu ideas (or "Western" misinterpretations of Hindu ideas) have on many "New
Age" groups.
Sheila and
Sheela are very good examples of names pronounced the same which have origins in completely different cultures.