That's cats for you! They own the house--they just let you live there.
Anyways, kittens and puppies couldn't live on human milk; it's thin and watery compared to what kittens and puppies get. It's because humans need so much water--we sweat to control body temperature. Also, cats need way more protein than humans or dogs. So whatever you did, human milk as a supplement for a puppy would just be a stopgap measure to stop the pup from dying right then. (I just realized, though: A newborn pup wouldn't have any teeth yet. So at least there's that consolation.)
By the way, the conventional way to help a newborn puppy or kitten who won't eat:
1. Get him nice and warm. A hot water bottle, wrapped in a towel; rice in a sock, microwaved; a heating blanket (but watch out for overheating). In a pinch, tuck him inside your shirt; but remember that both species have higher body temps than humans.
2. A sugar boost sometimes helps. Some corn syrup or sugar water, just drip it into his mouth or rub it on his gums; it'll give him instant energy, maybe enough energy to nurse.
3. Eyedropper, syringe without the needle, corner of a washcloth, your finger... whatever. Anything that can drip little bits of formula into the puppy or kitten's mouth. Sometimes, once they get some formula in their mouths, they realize what's going on and start figuring out how to nurse.
Formula replacement:
Cow's milk is bad; it's hard to digest. If you have to, goat's milk is a good substitute, and yes, mother's milk wouldn't be horrible, if you had some, though it's watery. In the very short term, anything that won't outright disagree with the little creature will do, because hydration is more important than nutrition in those first few hours before you can get it to a vet. Make sure whatever you give is nice and warm--especially if your orphaned animal is a kitten or a small puppy, because the smaller they are, the more easily they lose body heat.