I personally do not have a Briggs line, but my recently deceased sister-in-law did, and I am researching her ancestry for the benefit of my niece and nephew and their children.
The Minnie Briggs that you mention marrying John Wesley Hall had, among other children, George Waverly Briggs Hall, who married Mary Nelle Samford before 1920.Their daughter, Hilda Samford Hall, was my older brother's wife.She died a couple of weeks ago.
I have been doing a bit of online research this morning and found Minnie in the 1880 Elmore Co. household of Andrew J. Briggs, who was born about 1828 in AL.I noted that he was a Methodist Minister.He was in Greensboro, Green Co., AL in 1860, in Eufaula, Barbour Co., AL in 1870 and in Robinson Spring, Elmore Co., AL in 1880.Do you know when and where Andrew and Martha died?Did Andrew ever have a church in or near Lauderdale Co., AL?
I noted that Andrew's wife was Martha and born VA.
I would be interested in anything further that you have on the ancestors of Andrew and Martha.