Here's another picture of the Tautog that, though its not dated, I'd bet is from the same day.
Maybe even the same 10 minute period. That could be the same vessel moving in the background, just a short distance farther along. The wind direction looks to be identical, too. It looks like the crew formed up aft as normal, then somebody remembered the CIC would be conducting his review from ashore and so they moved closer. The photographer was set up in the same spot in both picture.
That’s what I was thinking too. The Times picture is not clear enough to really tell for sure, but I also think that may be the same ship behind the sub. If that’s the case it’s moved only a few hundred yards or so between the pictures. The angle of the photo is definitely identical.