Sirah J. answered 03/17/19
In common usage, this is a strange phrase, but not an incorrect one. The usage refers to the idea that "to deliver" means "to relieve" (or in extreme cases "to rescue from"), rather than the concept of bringing, like you deliver a letter (which is actually rather a funny way to think about giving birth). "Delivered of" is a rather formal phraseology, and a bit archaic.