We are from OHIO trying to find some where for some swimming is this open to public as a visitor or do you need to be a member?

Yes its open to the public

Clark Sports Center has a $5 one-day access per person which gets you access to 3 indoor pools.

Fairy Springs. Complete with lifeguards. Just outside the village on rt. 31. Look for the sign on the left.

Open to public for a modest fee. Ferry Springs is an iutdoor spot, also for a fee.