I’m sorry for the delay responding here.
The verification services are provided by the card issuers, and it’s actually very common that they don’t include the “name” on the billing address. So the AVS code you get back will be for the street address, city, state, zip. It would not include anything specific about the name.
Of course you would also get a code back for card security code, separate from the AVS.
Again, though, in my experience you can pass pretty much any name you want and as long as the address itself matches the response code will come back as a match.