Was bunny the name of lauras horse?

There is no widely known figure or story called "Laura" with a horse named "Bunny."

To help me give you a better answer, could you please provide more context? For example:

* What story or book are you referring to?

* Is there a specific Laura you are thinking of?

With more information, I can help you figure out if "Bunny" was the name of a horse.