The cylinders on Lockwood models ‘T’, Ace, and Chief are not water cooled on the ends of them. Try sprinkling a few drops of water on the cylinders front & top sides with your fingers. If the water drops do not boil off, cooling is OK. The Ace & Chief water systems must be completely intact and airtight since they depend partially on suction to work at idle after the air is removed from their systems.
If the T model doesn’t pump, the 2 pump check valves probably need cleaning.
Do not touch the ends of the cylinders – you will get burned.