Here is a list of The Enchanted Forest Chronicles Books in Order.
#1 – Dealing with Dragons (1990)
From the blurb:
Meet Princess Cimorene–a princess who refustes to be proper. She is everything a princess is not supposed to be: headstrong, tomobyish smart…
So bored that she runs away to live with a dragon. And not just any dragon, but Kazul–one of the most powerful and dangerous dragons arounds. Of course, Cimorene has a way of hooking up with dangerous characters, and soon she’s coping with a witch,a a jinn, a death-dealing talking bird, a stone prince, and some very oily wizards.
If this princess ran away to find some excitement, it looks like she’s found plenty!