Most states have a well log data base of wells. In Oregon I can look it up either by address, tax lot or well Id number. It appears Ohio has the same data available for an online search. If your looking for first water that might not be what the final depth a driller went to to reach sweet water, you might have to do a little hunting and pecking on the logs if you are looking for that.
I would start with your neighbors, then a local water well driller. The drillers will know the depth of the aquifer and the table for your area. Your state may have some department of !@$$# that could help out too.