Tim,
Sorry .. the short answer is that I didn't find any new photos of Livermore on this trip. One of my search areas this trip was to look through "Operation Torch" photos. I didn't get through all the boxes that were listed in the card catalog. The card catalog didn't list Livermore as a subject in this group ... BUT there were several Destroyers that I found that were NOT identified in the card catalog. Here are images of other Benson-Gleaves destroyers I found plus one of Benson that was in the background of a September 1942 photo and she had repainted to Ms 22. I don't really trust the specific dates given expect for Benson. I have a slug of other photos of ships that would be in this operation just out of the yard in September-October 1942 freshly painted in Ms 22. I suspect, whether a ship got repainted would depend on whether she had a yard period and/or enough time for a paint job. There were many destroyers in the background of large group shots of ships in the convoy that were not identified or identifiable ... and most if not all were all in Ms 22 ... except for Ellyson and a Flushdecker or two. But there were over two dozen Benson-Gleaves assigned to this operation.
Woolsey (DD-437) unidentified in a Casablanca harbor photo dated as 13 November 1942
Swanson (DD-443) in the convoy heading to North Africa
Hambleton (DD-455) off Africa, dated as 11 November 1942
Rodman (DD-456) as in convoy, nice close-up view of the bow showing what look like plated portholes.
Benson (DD-421) at New York Navy Yard on 16 September 1942