I don't know if Episcopal Ministers typically only recorded one first name just that they did for this family except for the son.
As I said, I have read somewhere that in the eyes of the church, only the first given name counted as the child's name in religion, and that therefore middle names were often omitted from the baptism record.
However I can't remember where I read it, or, more to the point, what the source for this bit of information was, so I don't know how trustworthy it is.