Can you pick the correct word for the following? “Peter, Peter __ eater, had a wife but couldn’t keep her”.

I was getting mixed up with Peter Piper picked a peck of pickled peppers, A peck of pickled peppers Peter Piper picked; If Peter Piper picked a peck of pickled peppers, Where’s the peck of pickled peppers Peter Piper picked?

Another is the first two lines. (than) Had another, didn't love her Up the chimney he did shove her

60 year old brit with 4 kids and I've never heard of it

So if "he kept her very well" in that pumpkin, was she baked?