A Pride of Gryphons — Kristen S. Walker

Marewings: part horse, part demon, all monster. Only the bravest riders dare to catch and tame them, and most die in the attempt. Not the best choice for a young woman who only knows how to run a farm. But Korinna is running out of options. Her father, the duke of Kyratia City, danced himself to death in a strange madness. He wanted her to marry his warlord, Galenos, and inherit his titles. But the power-hungry Council seized control of the city and left her with nothing. Her father's ghost haunts her, demanding more. The duke's mage warns that the dancing madness is spreading while the usurping Council does nothing. Galenos promises to take the city back by force, but then he won't need Korinna. She's not strong enough to fight alongside him -- unless she becomes a marewing rider. One chance to catch a marewing and learn to fly. Or her father's spirit could haunt her forever.