Dear Phoebe Brown,
I think Frizzy is a cute name
Here is a list of horse names alphabetically, so you can look under F.
First thing in my mind was Flora.
Fuego, means fire in Spanish pronounced fhewgo
One of the dressage horses I used to ride was named Wild Fire as his show name and Fiero as his barn name. It suited him well lol. Finn is also cute!
I rode a horse with the name Finnegans Wake (Finn) before