I don't know what it is called, but I know a nice North/South choke that works well from a guillotine escape. I'll try to describe it.
If you are caught in a standing guillotine...(sorry, I'm watching fight girls for the first time. Are the Thai chicks that bad, or are they taking dives?)...anyway, if you can finish the takedown or he pulls guard, and you can escape to side control on the opposite side of where he has the guillotine, try to dig your chin into his ribs and start working your way toward N/S. If you get there, slide one arm under his neck and grab the forearm on the other arm. Your arms become like a scissor. Dig your fist into his aorta. Pull back with your upper back/traps to increase pressure. If your raise up a bit, you increase it even more, as your arms close like scissors.
You can use this choke from any position, though it works better in some. You can even do it when you have full guard. Break his posture and lock it up. If he tries to pull up out of it, he will just increase the pressure for you. If he stays low, you have to rely on your arms. It will wear him out, if not slowly choke him out if he stays down. He will definitely waste a ton of energy trying to escape, so even if he gets out, he'll be worn, and you don't have to put much energy into it.
It's one of those chokes that can sneak up on the guy, b/c you don't feel too much pressure b/c it is just a blood choke with no extreme discomfort.