Thanks again everyone!
All of these suggestions are so good! We'll definitely think about what is making Jeeves HAPPY and if we can encourage him to get away from the baby, I think that will be best.
He has places to go that are safe, he just doesn't go to them. He can easily get away (the baby is still pretty slow).
I attached some photos for you guys! Jeeves was a rescue cat and had been given his name by the humane society (he was an un-neutered stray when he was taken in - at approx 5 years old). He's sure been a delight and we love him to death! He is happiest after baby goes to sleep