That's a cottontail alright! The babies are out now. She looks just like my baby Brinca, a cottontail I used to own.
Be careful though. Brinca was healthy but she was covered in ticks and they got on Mr. Bun Bun(he babysat her cause she only got along with the rabbits).
When I caught Brinca, I wanted to "rescue" her cause all of the other baby cottontails barely if not never make it throughout the year in our area. She was amazing. She instantly learned to eat from a bowl and drink from a water bottle. But she would NEVER let me pick her up. The closet I got was by petting her on the head.
Unfortuantly, I only had her for about 4 months. I found her dead, laying stiff in her cage one day. I'm still not sure what the cause of death was.
Wild rabbits are a popular "wild pet", along with squirrels, foxes, chipmunks, raccoons, birds, herps, and other common wild animals. Though I do own wild pets( 2 turtles) myself, I DO NOT support the keeping of wild animals as pets.