I searched for Santa Paws photos in your area and it has a schedule on there! Here is the link I hope it helps! At the bottom it mentions Pet photos with Santa.
Photos with Santa around Columbus - Columbus on the Cheap
Pet Photos with Santa
Howliday Bazaar and Pet Photos with Santa – November 21 from 10 a.m. – 3 p.m. at Franklin County Dog Shelter
Oakland Nursery Dublin: November 28 – December 20 from noon to 3:30 p.m. on Saturdays & Sundays. Take pictures with your own camera. Well-behaved, leashed pets are welcome at the Dublin location.
Pet Photos with Santa at Tuttle Mall: Sunday, November 15 from 6 – 8 p.m. Dogs and cats are only permitted in the mall during Pet Photo Nights (with the exception of assistance dogs). The set is located near Macy’s Hayden Run in front of Hallmark. Guests are asked to use the Food Court entrance.
Holiday in the Village in Shawnee Hills: Sunday, December 6 from 12 – 4 p.m. Cedarbrook Garden Center and Strader’s Garden Center will have a Santa. Bring your own camera for photos with Santa (pet photos too!). There will be free trolley rides throughout the village and free Hay Wagon Rides.
Hollyfest Arts & Crafts Show being held at Hilliard Davidson High School on Saturday, December 5, 2015 from 9:00 am – 4:00 pm. Have your pet’s photo taken with Santa Paws.
Paws with Claws at area PetPeople stores: Various dates and locations through December 13. Paws Package is $35, USB Drive $40, with $10 of every package benefiting the animals at the Capital Area Humane Society