Progress Report....
I bought some mineral spirits and an extra length of fuel hose. I ran the pump from the cigar lighter on my Trailblazer in/out of about a pint of liquid for 2 1/2 hours without any problems at all. I got good flow and the pump stopped when I closed the outlet off. So far, so good.
Next, I mounted the pump back under the car, connected up the new fuel hoses, a new vent hose, the ground and live wires. I reconnected the battery and turned the ignition on and .... nothing ....
I pulled the live connector off the pump, tapped the spade and got a spark and a very quiet clunk from the pump. Like the coil was trying to pull the diaphragm but didn't have enough power. A voltmeter (digital) from the spade to ground showed 8.6 V; without the pump in the circuit I got 11.5 V.
From before all this started, I know the battery is strong enough to turn the starter and my neighbour's tester showed 300A and 11.5 V under load but it was completely flat when I came to bring the car back to life after its very long winter lay-up - 9 months! My neigbour kindly let me his charger and we left it trickle-charging for 3 days. After which, as I said, it we strong enough to turn the engine over. I've left the battery disconnected whilst I worked on the pump so as not to drain it uneccesarily.
Where to go from here? I could try to run the mounted pump from the Trailblazer just to check it hasn't suffered some problem during the mounting (I didn't drop it!). Any ideas?