I think the Whites you've found are in my database.Isaac White b. 1831 with wife Louisa A. White is the son of William Jordan White b. 1803 TN and wife Rebecca b. 1804 TN.William Jordan White was the son of John White, Sr. b. 1781 MD d. 1855-1860 Nathan, Pike Co., AR; and his wife, Martha C. Mitchell b. 1784 VA d. 1859 Nathan, Pike Co., AR.
I do not have any info on the children of this Isaac and Louisa A. White.However, Hugh Lawson White and William Jordan "Gerd/Jord" White are common names used in several generations of this family due to their stay near Knoxville, TN, when they owned land in Anderson Co., TN.
Contact me directly for more information. My deceased mother, Oleta E. White Williams, several of her cousins, and I have been working on this White line for over 40 years. Some of these Whites did migrate to Texas and have descendants there.It still confuses people today as there areabout four different White lines in the Pike Co., AR, area.Several Whites married Whisenhunts -- very confusing!