Do you have an idea of how thick the water bearing sandstone is at your location?
		
		
	 
Somewhat.
Neighbor's recently drilled well hit a mix of sandstone and shale @ 60' all the way down to the bottom of the well @ 160'. 
The texture was described as "hard" (bedrock) on the drilling report.
The strata in the wells drilled on the adjacent road coming to our home are either shale or sandstone ... or a mix of both like above.
Earliest wells on that road were drilled in the early 1950's.
Total depth of wells ranges from 50' to 160', with static water levels supposedly ranging from 12' to 85'.
I say "supposedly" because sometimes the entries in the ODNR database are incorrect. One of neighbor's well was listed as having a static water level of 175' ... an impossibility since the well is only 54' deep, total depth. 
Pull up the actual drilling report on that one and the static water level is listed as 17' ...  
Interestingly that 160' well above was drilled in 1956 ... clay, sand and gravel to 20', then shale 20' to 40', then sandstone (with streaks of shale) 40' to 120', then shale from 120' to 160'. One hour test was run @ 10 gpm with no draw down, static water level @ 20'.
That property is due west of us (800' ?), but slightly north (probably less than 50' to 75')
	
		
	
	
		
		
			I'm just asking because my back of the envelope for a 5" well is that it would add less than a gallon of storage volume for every three feet deeper it gets drilled.
		
		
	 
A 5" bore (diameter) will hold slightly over a gallon per foot. 1.02 gallons to be exact.
So it would have to quite a bit deeper to add much in the way of storage capacity.
	
		
	
	
		
		
			(But deeper might certainly bump up the flow)
		
		
	 
Yes ... particularly if it hits additional fractures in the rock.
	
		
	
	
		
		
			My mental map for your area is lots of rainfall, and surface water, but I guess that doesn't say much about the aquifer, which just goes to show how bad my mental maps can be.
		
		
	 
Yeah ... we typically have pretty significant rainfall ... at least when we are not suffering under drought conditions.
ODNR has a snot load of info on Ohio's strata, hydrology and groundwater on their website. One example:
Groundwater Vulnerability Map of Ohio
Another (huge pdf):
Hydrogeologic Settings of Ohio
	
		
	
	
		
		
			Are you and your neighbors all on sewer, or is it septic and the water is returned to the soil (and perhaps the aquifer)?
		
		
	 
Pretty much all on septic, city/county has started to put in sewer and connect it to an adjacent city's wastewater treatment plant via a trunk line ... but that's mainly along a main road corridor for commercial development.
No plans for widespread residential sewer at this point, other than maybe those along the above route.
Similar thing with city water. They have entered into an agreement with a company to provide "city water" along that commercial corridor.
Cost is fairly significant but probably slightly cheaper than having a new well drilled:
Tie in is voluntary. 
Not really an option for us as we are well off the route.