My cousins last name is Taylor too. Her 3 girls names are: Taliah, Kaleesha and Calarni.

Some names that I like in general are

Ava
Sophie
Eva
Erica (think this goes nicely with Taylor)
Abigail
Mia
Alexis
Lily
Savannah
Gabrielle
Avery
Clare
Meghan
Ellie

Good luck finding a name for your princess.