what happens if I hook up two power sources in parallel. One has low voltage but high amperage. Other has 2 more volts but not as many amps.
Also lead batteries like to drop in voltage slowly after disconnecting. It will take 1-2 minutes for the lead battery to finally reveal the voltage it's really at. it will be dropping from 13.8 volts for 2 minutes.
So the generator is going to run all the time? Why do you need the solar then?If the battery is actually flat (or below half) then you won't see 14.0V on the battery terminals. It will be lower.
To estimate the charge level of a lead acid battery, the usual way is to let it sit for a few minutes, disconnected, then measure the voltage.There are other, far more complicated and often less reliable possibilities.Excellent info on lead acid batteries here:http://batteryuniversity.com/learn/article/charging_the_lead_acid_battery
So you need to explain - why if the generator is always running do you want to disconnect it from the battery?Petrol (and similar) generators are extremely inefficient; It will consume fuel while ever it is running, it may not even make any measurable difference in the fuel consumption once the battery is mostly charged.