According to "Our Burnley Ancestors and Allied Families" by Emma Dicken, Henry Brown (1776-1847) and Allinda/Alie Burnley (1787-1849) were both first cousins once removed of Henry Mills Burnley, the son of James Burnley and Elizabeth Mills.
Henry Brown was the son of John Brown and Ann Burnley, and the grandson of Israel Burnley and Hannah Terrell.He was born in Bedford Co., VA.Allinda Burnley was the daughter of Henry Burnley and Lucy Barksdale, and also the granddaughter of Israel Burnley and Hannah Terrell.She was born in Charlotte Co., VA.Henry and Allinda lived in Warren Co., GA until 1834, and then in Attala Co., MS.
Henry Brown and Allinda Burnley had the following children:Nancy, William Henry, Alfred Terrell, Tamberlain Jones, Richard Davenport, Susan W., Henry Burnley, and Benjamin Franklin.I can provide more information on these children if this looks like a match.
Israel Burnley (the grandfather of both) was probably the brother of James Burnley (husband of Elizabeth Mills).
James' son, Henry Mills Burnley, married Nancy Goodman, and had seven children, most with ties to Louisa and Fluvanna Co., VA.