"-ne" goes on your first word in the question, and I know your sentence wasn't meant (probably) to be serious, but there's no historical evidence to suggest Nero was in Rome when the Great Fire happened, but there is evidence to suggest he was in Greece at the time.
Yes, I guess the word with -ne should go to the beginning of question:
Movetne Nero lyram?
As you've noticed (probably) my comment was intended for humour, not so much for historical accuracy. And, to be sure, I don't claim any knowledge of the Nero's whereabouts during the fire.