Hi D 40G, as a person has removed the roof and added a second story while still living in the house.....I understand what rain means.
Those solenoids I mentioned do look like Ford starter solenoids, only they are silver in color. Quickest way to make it work? Take a good sized jumper wire with alligator clips on it and connect the large terminals of each solenoid, one solenoid at a time. One will blow the horn, one will make the aux. pump kick in, one will make your lift/swing/drive work, the other will make your telescope/steer/level work. There may be others for things like an electric choke. Once you've identified each solenoids function, you can pin point the one you're having a problem with. You can operate the 40G with the jumper in place, just remove it when you shut down or it will drain your battery.
On ground control - you should have power to one of the large terminals and to one of the small terminals. There may only be one small terminal. If it's got two small terminals, the other one is grounded.
What this solenoid is doing is powering the dump valve for the proportional valve bank. A dump valve dumps the hydraulic flow/pressure when you are not using any functions. On basket control, the dump valve is operated with the foot switch. On ground, it is powered whenever the ignition is on.