Emergency roof repair is typically the best bet after storm damage. This gives both yourself as the homeowner and the chosen contractor to come up with a proper solution to repair the roof properly. A rushed roof repair is not what is always best. A proper emergency roof tarping will give the contractor time to get the same shingles, underlayments, and accessories that were used at the time of original install in order to bring the roof surface back to its original standing. 

In the case a comparable shingle can not be found, Ohio's laws may grant that your insurance company replace the entire surface and not just perform a roof repair. Therefore, a roof replacement is very common after storm damage since most shingles are discontinued or faded to the point that they do not meet the "reasonable comparable" clause within insurance code language. After an emergency roof tarping, this gives you time to determine if an insurance claim would be worth your time. Make sure you work with an experienced local roofing contractor who knows local building codes and is experienced in the insurance side of the industry.