Ed, what if it measures 111 on one leg, and 129 on the other?
(The neutral would be the suspect)
I agree with your method of removing the loads, it should read 120 on A, and 120 on B to the neutral conductor.
He had some 120 volt outlets not working. He has a 120/240 feeder coming from his house feeding underground to a garage about 75ft. away.
If it's a separate structure, then it needs to comply with 250.32(A) in regard to having the required grounding electrode installed, and its connection.