So, you need a 'cat hat' you say?

You could wear it on your head,
you could wear it to bed.

So, you say it falls off your head,
that is so dread.

you could tie it with a string,
you could tie it with just about anything.

you could wear a hat like Phil,
you could wear one with a bill.

You could wear it on your cat,
what do you think about that?

(sorry, I was bored before work today and liked the original post)