I Wonder what Flame princess first name is? Maybe her begins om F, because Princess Bubblegum first name is Bonnibel. So, i think her first name is maybe Fanny, Felicia, Francine "Fran", Flaminia, Flana or Flanna.
Flanna means red-haired.
I think Flaminia.
She deserves to have a name, she loves Finn!
PB dosen't want to love Finn, so thats why.