My cat that I had when Harrison was born was actually scared of Harrison. He was a little curious and would come up when Harry was in his bouncer and have a sniff, otherwise he completely ignored him.
My boy went from smothering me when I was PG to not coming anywhere near me when R was born. He has only willingly jumped onto my lap a couple of times since and that was at night when she's asleep in her cot.
He has never liked being in the same room as her and if he's in the house when she cries or squeals and giggles he starts jumping at the door to be let out.

He also prefers to be outside and only comes in to eat. He sleeps in the garage.