the pronouns "rat" and "cheese" are in fact neopronouns!
here's how you would use the pronouns [rat/rat/rat/rats/ratself] and [chee/cheese/cheese/cheeses/cheesself] :
Chee made a beautiful painting of a campground that cheese family took cheese to back when chee was a child. Cheese is sooo talented, I wish I was cheese.
Rat made a beautiful painting of a campground that rat family took rat to back when rat was a child. Cheese is sooo talented, I wish I was rat.