Our notes indicate that William & Agnes' sons John (b. 1712 d. 1774)and Joshua (b. 1716 d. ?) died in Surry County, NC.They appear to be the only children of William & Agnes that ended up in NC, so one of them may be the father of John and Arthur for whom you are looking. William & Agnes' son Arthur also had sons John and Arthur, but these two individuals both ended up in Ohio (Greene County and Champaign County, respectively).