Continuity check....

You know what you could do, and you didn't hear it from me; is to isolate the bad wire(both ends) and put it aside. Then run power up the neutral wire, and hook that to the pumphouse panel in it's stead. This is essentially replacing one black or red wire with a white wire.Finally ensure the ground rod is hooked to the pumphouse panel chassis-ground. The 220v pump doesn't need a neutral, but anything in the pump house that requires 110, will now run off whichever wire it is hooked to just fine, using the "earth a a neutral loop back to the main panel where it is used to be hooked to the neutral bus, years ago, anyway.If not it will still work, as long as the ground rod at the pumphouse is well-connected to the ground. And no, you won't get a shock by walking over near to the ground rod. Before we had the government meddling in our lives, this was common practice. I guess they have stock in a copper mine somewhere.This will get you by until you can wire it properly.Remember; you didn't hear this from me....lol.
Go look at your power-cable coming into your house. Count the conductors. I bet you can't count more than two! Those would each be 110s.

This is what is going to happen... Thanks...