I dont think there is a "shot called Kennel Cough" its a condition pups usually get, it is treatable with medication...
http://www.thepetcenter.com/gen/kenc.html
That page has some info
Does Cash have Kennel Cough?? If you do not have a vet for him, my vet is on Bath Ave in Brooklyn and he is WONDERFUL!! I have used him for over 17 years with other dogs we have had
Hope all is well!
Fran and Sammi