Why is my Facetime showing odd times?

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Strange Facetime Scenario

I received a Facetime request from an unfamiliar number so I did not answer it. It showed later in my recent call list as a missed call but the time indicated it came in an hour later than it really did.

Approximately two hours later, I received another Facetime request from the same number, and I declined it. It immediately rang back and I declined it again. However, in my recent call list, it indicated that one of the calls were made only a minute after the earlier afternoon call and the second call was about an hour after the actual time it was received. Moreover, it indicated that I made these calls, not received them! The phone was sitting by itself on my coffee table when it started to ring as a Facetime request.

What is going on?