http://www.searchreslt.com/demon-monster/
Unchained by Sharon Ashwood (sfsite)
With a custody battle coming up, Ashe Carver, monster killer, has switched from stakes to a job at the public library. But fate has other things in mind. Ashe find herself chasing a demon rabbit that escaped from the supernatural castle along with Captain Reynard, one of the castle's guards. But there's more than that going on here. Someone has stolen Reynard's soul, part of what bound him to the castle; a vampire king wants to impregnate Ashe since her sister, Holly, had a vampire's baby; and there's a dark fae prince who seems to have his finger in every pot.
Berwick Louisiana afreet demon / monster