Rabies Vaccinations for Dogs and Cats. Saturday, June 9, 2018 from 1:00 p.m. – 2:30 p.m. at Washington County Health Department, 342 Muskingum Dr., Marietta, Ohio. Cost is $10.00 per animal. Dogs must be on a leash. Cats must be in carriers. All animals must be 12 weeks old. If you have any questions, call 740-374-2782 Ext. 3322.