…or is it just a stalker??

Well, we’ll let you decide what to make of these pictures we got of Jess leaving her NY hotel recently, and in the background is her rumored new squeeze, Billy Corgan.

Truthfully, we reckon it’s all a cart load of crap that these two could possibly be an item.

And our guess is Billy was a little bit  stunned to see all the paps waiting outside his hotel as he left to do some Christmas shopping by himself.

Bad timing that Jess so happened to be leaving at the same time…hence the bemused look on Billy’s chops.