It's odd that she didn't pee the normal way cats do (standing up, squatting down) there isn't any way for you to know if she has a UTI because cats have a high pain tolerance and they don't vocalize it unless it's an extreme amount of pain (or sudden pain like stepping on their tails).
I think you should take her to a vet and have them check her out, because it's not normal at all, and there is probably something wrong with her if she is loosing bladder control like that.