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There are no fathers in the game, so to speak. Unless you assume Denize the dragon, who is a mom, had a husband.
I've proposed an alternate theory over how Izzy had children; read it here:
Basically, this husband, otherwise only know as Mr. Dragon, was the original male dragon at Lemonade Lake.
I've also made some sweet fan art of him taking one of Izzy's kids on a fishing trip to hunt Swedish Fish, just like how Mr. Yeti and Tiffi are good at it. He even dressed for the occasion with the fishing hat and vest!