Lolli, for short. (Or should it be Lolly?)
I like it because it ends in that "ee" sound like Minnie and we get to keep the pop from Popcorn. Plus, it's pretty similar to Lulu and Lily that were both popular choices.
In honor of this naming ceremony, let's watch the video of the song I've been singing for the last 24 hours.
Maybe, for Doc's sake, I'll stop singing it soon.
Oh, and Jenny, for suggesting the name, Lolli (Lolly?) will reward you with kisses as soon as you come visit her.