Find a local facility that boards cats or even "at-home cat care" from a kitty sitter on this page. Example:

Q: How would I find boarding for cats near Tacoma, Washington?
A: You can find a list like this: Kitty Sitters / Boarding > Texas > Austin

Q: I'd like to find a professional cat sitter in Tennessee.
A: You can find nearby pros here: Kitty Sitters / Boarding > Tennessee

Troy
Troy Animal Hospital Bird Clinic, 34 S Weston Rd, Troy, OH 45373; (ID #1337), call 937-335-8387; located in or near Miami county  (see map)

Union City
Troy Animal Hospital Bird Clinic, Union City, OH 45390; (ID #1338), located in or near Darke county  (see map)

Youngstown
McLemore Kennel, 1191 E Western Reserve Rd, Youngstown, OH 44514; (ID #899), call 330-757-2355; located in or near Mahoning county  (see map)