Need more info...
If the foot valve is bad/leaking, then you will lose prime and have to refill the pump when you lose water. Since you didn't mention having the do that, the foot valve probably isn't the problem.
So... you run out of water... is the pump still running when that happens? Or has it gotten hot and a thermal overload opened until it cools down?
If the pump is running, how do you get water again? Turn off the pump and wait some time and then when you turn it on you have some water again?
If so then you have a dry well condition, meaning the water level falls to the pump inlet and the pump sucks air and the water stops flowing until the well recovers a bit. But if that is the case, you should be losing prime, or in a normal setup of a jet pump, you normally would/should. But stranger things happen. lol
Maybe sediment has built up to the inlet and is stopping water flow into the foot valve. The cure would be to clean the bottom of the well. I do pump work but I don't know if I could do that myself, I don't really have equipment to do it; which would be what... a big'n powerful wet vac! A boy on a rope seat lowered into the well with a shovel and bucket, maybe after dropping a pump in and pumping the water out to below his chin....
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