It would show google SMTP server if one received it in the inbox. I think that's always the case. As far as I know gmail cannot be a web client to external SMTP servers.
> Or by received headers you meant you get a reply back from the celebrity?
Yes, I received several replies back but that was the sole extent of our contact on the Internet or real life.
Received headers show the previous mail servers that the email passed through through on its way to you. There can be many; each server adds another.
See https://www.ietf.org/rfc/rfc2822.txt § 3.6.7, "Trace fields" and Appendix A.4 for an example. (Or, press control-U in some mail clients to see the source of an email you received to see all the headers.)
Adding to what jameisonbecker said, obviously every intermediary server can also strip, modify, or add any headers that existed when it received a mail, prior to forwarding it.