John Pryor and Rebecca Cook: Connection to Other Pryors?

I’ve heard from a researcher who is working on the line of William Pryor who married Mahala Lewis in Montgomery Co., AR.  William is probably William Henry Pryor who was born in 1829 in TN, the same man who served in Co. H. , 1 (Colquitt’s Arkansas Infantry) during the Civil War.  It’s suspected that he’s the Henry Pryor who was working as a farm hand in Wilson Co., TN in the Ricketts household at the time of the 1850 Census.

Some researchers have included Henry William Pryor as a son of John Pryor and wife Rebecca Cook.

So which line of Pryors is this John Pryor from?  He was married in Rutherford Co., TN in 1823.  There’s an Allen Pryor on the 1820 Census in Rutherford Co. John and Rebecca were on the 1830 and 1840 Census in Wilson Co., TN. From these census entries we can surmise that John was born between 1800 and 1810. By 1850 John was probably deceased, his wife and several children were in Chistian Co., KY.

I’m now wondering if John Pryor is the connection to link up some of the “straggling” Pryors in the census records. There’s the Allen Pryor in Rutherford Co. 1820, then an Allen Pryor on the 1830 and 1840 Jackson Co. census. We know the Allen born in 1810 in SC and living Jackson Co. in 1850 is related to the Thomas Pryor born 1813/1814 in TN who was living in Wilson Co., TN in 1850. Are John, Allen (and Alfred in Jackson Co.), and Thomas related? How?