I say go ahead and write it. There are so many stories in this fandom, there are bound to be some that are pretty similar. If you had the idea before you read hers, I don't think there's a problem at all. In fact, I'd bet that your story turns out to be pretty different than Jana's. I can't tell you the number of times I've heard someone say they were afraid to write a story because it seems too close to another story, but then when they are finished they are so different the readers never even notice the similarities.
Annie