The (real) Ten would so get off on finding he was being celebrated in a play, so that should be fun. The name Rosita makes me wonder if they're recreating some aspect of the Doctor's adventures with Rose, and if so how news of them got to 1851. I think it's too early for T&C but there could be a Time Agent involved.

And it would seriously rock if it turned out that their inspiration was Rose travelling, at some point, without the Doctor - or even with the Handy one!