I have a theory that women without jobs shouldn't name horses. I've come across some weird ones: Ima Pretty Orrieo Kookie, Gay Macho, Pretty Poco (who was a stallion no less) Mr. Ivory, Party Party, Take a Whiz, Duh Lil Dunnit
Ima, Heza, Sheza and Mr. are my big pet peeves in horse names.
Try to work Hickory into her name somehow. She's red/chestnut and since QHs have Spanish blood in them, maybe something with Roja or Alazana (feminine red and chestnut in Spanish) in her name.
Or go with regular AQHA names and randomly string ancestor names together
Hickory's Lil Badger or Steel my Hickory are quarter horse-ish.
Good luck, let us know what you decide on
BTW--My horse is Party Party and I thought of changing her name, but she had already won points so I couldn't.