The stadium is owned by Sunderland Limited, which owns 100% of the original SAFC Ltd. At any level above, and the Ladies are s separate subsidiary. At any level above pedantry too ludicrous for me, the club is the Sunderland Ltd group. You're simply hairsplitting in a totally argumentative way.
By the way, the current structure was set up by Bob Murray before the stadium was built, to function as a plc and allow fans to buy shares, all of whom lost out when your Irish mates compulsorily bought them my out.