I got my "REAL ID" license several years ago -- I think it was prior to the pandemic. It was fairly easy and I don't recall needing my marriage license.
DD got her's just a couple of years ago. I don't recall what we used for mail -- maybe a bank statement (which would have both parents' names as well) and/or something from school (which likely was "to the parents of..."). Or maybe it was a paycheck, which was never mailed because she'd pick it up at work but it probably had her address. I know her passport had expired so that wasn't used. When she started working a couple of years earlier we had to get her a new SS card because work required the actual card; that was annoying but not difficult.