Update:
I checked the UHC site again and as of Friday, 2 claims show on their site for the date of service in question, This makes sense, since I had 2 procedures done that day. The 2nd one was just processed on Friday. The 2nd one shows correctly under my name. The other one still shows under DH's name.
Today I called the provider's office billing department. They show both claims as having been submitted in my name/DOB, etc. So they said I should call UHC to get it corrected. I called UHC and they show 1 claim submitted under my name and the other under DH's name. They said they need the provider to submit a "corrected claim" to get it re-processed under my name. She put me on hold while she called the provider's office to request the re-submission. 25 minutes later, she came back on the line with me and said the provider's office checked everything and they only show it under my name/DOB, etc. and they will not submit a corrected claim because there is nothing to correct on their end.
So the UHC person said she will escalate on her end to see how to get it corrected and will call me back in a couple days.
So basically, they are both pointing fingers at each other. Still seems very difficult for me to believe the dr's office submitted under DH's name since again, they don't have his DOB or SS# and only have his name as a emergency contact for me. In addition, the other claim for the same day was submitted in my name.