Hi Thinking Spain, I am not sure whether your question is good. I would like to say this: The verb 'go' sounds a little odd to me in the question. This (using 'travel' in place of 'go') sounds better to me.
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Thinking SpainWhose house does Robert go by train?You didn't notice the inconsistency: there's no "to" in the question but there is one in the reply. You could say:
He goes to his parents' house by train.