Showing my age here...

If this is the old time / old school hand pump that I'm familiar with that are ??? years old on the farm, then you prime them by pumping them. Are these cast iron and approx 3' - 4' tall coming out of the ground with the long handle? Obviously "old school?" If so, you'll need to prime by pumping for at least a few minutes. Full strokes, all the way up, all the way down. If the well isn't dry or pipes corroded to dust, you'll get water, but you need to be 'priming' the pump by pumping for awhile. Pumping is drawing the water up from who knows how deep, you're not just turning the water on.

No clue about water tables in the Springs but I primed a pump back in IA a few years ago just to see if it still worked, probably hadn't been used in decades maybe. I thought it was dry or broken, but after I got a real good sweat going and felt like a fool for trying so hard I finally got the water flowing. It just wasn't used on a regular basis, but the damn thing still worked just fine.

Robb