How did Porlyusica come to Earthland since she is the Edolas version of Grandena and has been on earthland for a while

She must have accidentally come through the Anima.She did mention that she came in Earthland oleh accident and felt very lost until Makarov found her.She enjoyed her life in Earthland so much that she didn't want to go back to Edolas.

Anima? Possibly, I think that's how Edolas Jellal (Mystogan) came through right?