No, U.S. non-citizens testing within the United States must present a valid passport that meets all of the ID requirements.
The attendance roster lists each registered test taker's last, first and middle names in separate cells on the roster. Therefore a name like Suarez Thomas would be listed in the last name field together. If Thomas was a middle name then Suarez would be listed in the last name field and Thomas would be listed in the middle name field. The admission ticket does not clearly break out the full name like the attendance roster does.
If a test taker presents a marriage certificate or a divorce decree dated between the time he or she registered and the test date, that is acceptable along with their ID. The important thing is that they also supply a valid ID along with the certificate or decree.