Chatting with the dead/alive cat's vet today we got onto the topic of what's the equivalent of Uxorious in terms of one's children.
There did not appear to be a quick answer to this, so as a holding position I'm going with a neologoliferated solution:
prolious: overly fond of offspring
though that actually might be a real word, so:
prolous: overly fond of child
though even that looks like a name
over to the cat's vet's friend...