From "Biographical Annals of Franklin County" Seilhammer, 1905, pp128ff. Joseph Culbertson was born in "Culbertson's Row" Ballygan, County Antrim, Ireland, died 1784 in "Culbertson's Row" Franklin County, Dec 1784. He immigrated with brothers Samuel and Alexander (long article)
The 1900 list of post offices shows a Culbertson in Greene Twp, Franklin County, estimated population was 80. I have written about these Culbertson's before on this site. A search for the surname should turn up more information.