Is there only one well and pump that serves both houses?
If the tank at the new house doesn't have air in it, then it is useless because all of the demand must come through the long pipe from the well.
If the tank at the new house is precharged properly, it should have the same pressure (adjusted for elevation difference) as the old house.
You should install a pressure gauge near the tank at the new house so you can observe the pressure when there is no water running, and when there is water running. That is essential for diagnosis of the problem.