I know that this has already been said a handful of times & agreed upon, but she definitely looks like a Chihuahua/Yorkshire terrier mix (maybe even other breeds, considering you said that dad had poodle in him). I fostered two Chi/Yorkie mixes and it took until they were almost six months old to have a longer coat (sometimes it never happens). It took a lot more time for their hair to grow out.
I'm not saying she is a mixed or anything, but that is just what she looks like and that is what my experience has been with the coating mix.
She is absolutely adorable, though with or without long hair
(I didn't realize this was an older posting, whoops)