It looks like
lemon cobbler is made with lemon pie filling per
https://myhomemaderecipe.com/recipes...-lemon-cobbler
and the
caramel cobbler uses brown sugar per
https://www.justapinch.com/recipes/d...l-cobbler.html
and this
butterscotch cobbler uses an egg
https://12tomatoes.com/carmens-butterscotch-cobbler/
Many of the butterscotch cobblers include fruit.