It sounds like a fuel pump problem. It could be electrical, but that's unlikely if it only happens going up hill. The pump effectively has to suck the fuel further going up hill.
One possible way to check for a fuel pump issue is to gradually build up speed before a hill and then don't give any gas, just letting momentum carry you over the hill. If there aren't any problems, try the same thing driving normally. If it doesn't pull the hill driving normally, there's probably a fuel or fuel-pump issue. It's not fool-proof, but it can help isolate the problem.
There could also be a part throttle problem in the power circuit in the carb, but that generally wouldn't cause it to cut out, just miss or lose power.
If it was my car, I'd probably just change the fuel pump.
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Rich
The real democratic American idea is, not that every man shall be on a level with every other man, but that every man shall have liberty to be what God made him, without hindrance.
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