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I would like to answer your question.
If you met her parents, then she is serious about you. She would not have taken that important step if she was thinking of breaking up or was not interested in you.
It sounds to me that her request for you to come see her was because she was feeling insecure and unsure of your relationship and wanted to be sure that you were happy with her living arrangements. It also gave her the opportunity to have you meet her parents...which may have been something she badly wanted to do.
It seems to me that everything worked out nicely...you went to see her, you met the parents...all good.
Yes...you are over thinking things. The relationship sounds good to me!
Please let me know if I can be of further assistance.