Where was the CT carbarn? I assume Jamestown. Thanks.
Yes, overall. I looked through my notes to give a complete answer. One barn used is still in existence. The others are long gone.
While all of Broadhead's trolley lines were interconnected, the CTC had its terminus as the Sherman house in downtown Jamestown. This location (north of Brooklyn Square, and on the other side of the river from the only non-Broadhead trolley line neatby, the Warren and Jamestown) had no place for a carbarn.
The building that is still around today is on Third Street: you can easily see the front where there were multiple doors for multiple cars to be serviced. While it's definitely a car barn for the Street Railway, as the CTC entered Jamestown on the JSRY line, the CTC unquestionably had access to the JSRY facilities. I'm seeing in a 1925 report when the CTC was considering closing that the official start of the CTC trackage was Chautauqua Avenue in Lakewood. It was JSRY until there.
The CTC cars were also frequent visitors to the boatlanding. They first arrived via the Pennsylvania Railroad at Mayville, and then came down the JW on the other side of the lake. I would assume that the Erie and the Broadhead family were still not playing nice-nice so that's the reason for the routing, but they also came from Brill in Philadelphia, so it simply may have been more direct via Pennsy. In any case, on your site you've got the one station in the boatlanding that still exists as built in 1942. That would have been after the CTC closed, but there were quite a few facilities at the boatlanding, so I would assume they spent time at the barn there at some point. The diesel house that the JW used up until the end became the Erie Railroad's engine house until the new one was built near the station some time later.
Finally, there was another building that the Broadheads used, but it was long gone when the line closed. The Third Street barn, still up today, is made of brick and appears pretty sturdy. It's also built into the hillside, so one would assume it had some good engineering done. I repeatedly saw references to a Washington Street carbarn when seeing obits and injury reports for trainmen. It also seemed like the Washington Street barn had sleeping quarters, like you'd find at a firehouse. I would assume that there were guys on duty all the time, so perhaps this was the case? There is no doubt that there was a wooden carbarn on Washington Street, which would not have been at the boatlanding, and that CTC cars and personnel used it.
So: Third Street barn, still there
Boatlanding (there was a turntable in there for a long time, too!)
Washington Street Carbarn