I swear my mind is fried. First, I find one Libery Center, and then another!
I found a Liberty Center west of Toledo. The closest humane society is:
Wood County Humane Society
801 Van Camp Rd, Bowling Green, OH 419-352-7339
They have a low cost S/N program.
If Libery City is north of Columbus, here are three places I found, including one in Delaware:
Humane Society & Spay Neuter
4920 State Route 37 E
Delaware, OH 43015
Cat Welfare Association
736 Wetmore Road
Columbus, OH 43214
Low cost spay/neuter for pets of low income people.
Northwest Columbus OH