Skit, I have a well, but I don't water my lawn. I figure if God wants it to turn brown, and go dormant, who am I to dispute that?
As far as water supply, our well is a deep well (ours is about 130 feet deep), which gets it's water from an underground aquifer. It is really totally separate from what we see on the surface. Shallow wells can be useful, but they get their supply from surface ground water... what you may see in ditches, or rivers, from rainfall. Shallow wells can be 10 or 20 feet deep, or sometimes more. Usually they are driven points, rather than drilled, and in this area the bottom of the well is located in sand, just above the layer of clay. In good times, shallow wells may produce 1 to 3 gallons per minute, or so, while a deep well can produce 5 to 20 gallons per minute, or more, almost all the time.
I would NOT want to have a shallow well during this drought.