Roger,
You need to check not only the voltage at the pump, but check the wiring back to the harness in the trunk. Been there, done that.
What happened with me last year is as follows: I was having intermittant problems which all pointed to the fuel pump. Problem is the voltage measured fine.
During the restoration the wires to the pump were cut and when replaced, were crimped OUTSIDE the car body. When I went to install the new pump, the problem was shown: the + wire was corroded causing a poor connection; it actually pulled out of the crimp with but a small tug of my hand. Could not even support the weight of the pump!
The actual "take off" from the harness should be in the trunk, under the mat, upper left corner above the fuel pump area. The wires go from the harness, through a long grommet-strain relief tube to the pump.
Don't worry about the full tank; have a clamp and bolt ready (as well as a container to hold the spilled fuel) and plug up the line from the tank as soon as you remove it. You'll only lose a few ounces if you are quick.
Ensure that the the wires attached to the pump are sound--I believe there are ring terminals crimped on the ends. Crimps are not forever. Wires get corroded, yes, even copper--particularly those outside the car body and also if you are missing the fuel pump protective cage, which a lot of cars are. You may need to cut off the old terminal, and crimp AND SOLDER a new terminal in place. If the thought of a soldering iron around fuel scares you, you are not alone: I did the soldering work in the trunk and pushed the wires back out. Really make sure that the wiring is sound. You need all that voltage, all the time, at 100% reliability. My car would stumble at high speed; almost certainly caused by the pump cutting out just enough to impair fuel delivery a little bit.
BEFORE you pull the fuel pump, better get some new fuel pump mount screws and have these on hand. These are double ended rubber mounts. Mine disintegrated and my car was out of service for 3 days while I waited for the new ones to arrive. I used SS hardware and anti-seize on them when I put them together again.
Michael Salemi
1969 280SL
Signal Red 568G w/Black Leather (Restored)
President, International Stars Section
Mercedes-Benz Club of America