Unfortunately, none of the hits for your querry suggest a unit that was formed in Cumberland County, but that definitely does not indicate that he did not serve.

It was quite common for troops to muster into units in areas they were not from, for what ever reason; my 3rd Great-grandfather Evan Talley joined a unit from the Greenville, SC region, even though he was living with his dad Nathaniel in Rabon County, GA, as a farmer on the 1860 Census and never lived in SC.