I have a Johnson 110 that had sat for several years with gas in the
carbs. I have removed and cleaned them out, and it runs great - except
for one little thing. If you don't keep sqeezing the bulb on the fuel
line, it dies. Is this a fuel pump thing, or is there anything else I
should check before diving in and rebuilding or replacing the fuel
pump?

Any advice would be greatly appreciated!

Jack

you could either have a bad pump, OR ...

If you are using the origional tank and have put fresh gas in it, thats
OK, but there is usually a filter or screen on the inside of the tank
hooked up to the outlet line that may be choked up, not delivering the
fuel and causing a vacuum in the line.