@wk3600
Bill, It is your name and SS # that is the most important and the correct / verifiable correlation between them.
This part of your post bothers me because you should be able to order a Replacement Card through your mySocial Security.gov account. You said: I tried ordering a replacement from my MySocialSecurity account but it rejected my request.
There are a few exceptions and prerequisites listed here which might be hanging your request for a replacement card.
SSA.gov - Request a Replacement Social Security Number (SSN) Card Online
Notice the link says: Keep in mind that in many cases, even if you lost your card, you may not need a replacement. In most cases, simply knowing your Social Security number is enough.
If you do not have one of the above listed (at the link) exceptions, review your mySocial Security account set up especially your name and SS#.
It's Always Something . . . . Roseanna Roseannadanna