Hudsons of White Co. and Jackson Co., TN

Seeking more information on my ancestor, Oliver P. HUDSON, who was in White Co., TN during 1840s. He was in Jackson Co., TN on 1850 census. He was born circa 1810 in NC and died sometime after the 1850 census. His wife was Eliza, born circa 1812 SC. Their known children were: Cordelia Caroline (or Caroline Cordelia) ARTERBERRY, Washington, Mahala, Sarah, and Polly.

While I haven't found a connection between Oliver and the Hudsons of White Co., I strongly believe he is related to them somehow. I would love to hear from anyone working on this group.