I have no info on your Joseph Pearson, but I have found something that may help you. John B. Pearson md Margaret (Peggy) Rawlings 1 July 1806 in Charlotte Co VA so perhaps he is related to your Charlotte Co VA Pearsons. A lot of the Rawlings family went to Rutherford Co TN.
Rutherford Co Deeds Bk 1 pg 540: John B. Pearson deed of gift to Marguret (sic) Elizabeth Rawlings daughter of Joseph and Leonila Rawlings formerly Leonila Pearson. 2 horses, 6 cattle, 2 saddles, 26 hogs and furniture. 22 May 1843. Registered 19 Apr 1844. Signed John B. Pearson; John J. Bennett Clerk of Smith Co 22 May 1843. Delivered to Joseph Rawlings Apr 19, 1844. (The Smith Co clk must have been filling in for the Rutherford Co clk)
Bk 9 pg 306: Wm Pearson gift to niece Margaret Elizabeth Rawlings dau of Joseph and Leonilla Rawlings formerly Leonilla Pearson (some horses) 6 Jan 1858.
Seems like John B. Pearson moved to Rutherford Co TN had a son William and a daughter Leonilla. Leonilla Pearson then md Joseph Rawlings and they had Margaret Elizabeth Rawlings.
Hope this helps as much as your "finds" have helped me.