One of my cats did the exact some thing. It got to a point of me being so annoyed with the cat, that we almost had a fall out. This is what i did to change the situation. I introduced my child to the cat, the cat did not even look in her direction as I did the introduction. When my baby were out of the crib I hid some kitty snacks in her bed, this helped kitty become accustomed to her smell, and also made kitty think this newcomer are going to spoil me rotten. ( I call this positive reinforcement) Within a week kitty was sleeping at the baby's feet and even got mad at me when I took my baby out of the crib. Her jealousy turned from the baby to me. They are now fast friends, and "baby" still spoils her a lot.