I have Brownings up in KY, but I don't think they are directly connected to your Alabama bunch.
I do see a couple of trees on www.ancestry.com
James Madison Browning
Birth Nov 1878 in Alabama, USA
Death 28 Sep 1948 in Alexander City, Tallapoosa, Alabama
He married to Sarah Frances Arnold (1878 – 1927) and had Vernon (1902-1973), Mary Ella (1905-1974), Myrtle (1907- ), Bernice (1912-1963), and Hugh W. (1918-1997). Plus maybe one more child. This tree mentions Elsie too, but doesn't list a marriage date or location.
The parents of James M. (b.1878) are James Madison "Jim" Browning Jr (1850 – 1925) and Harriett Ann Stone
(1849 – 1886). Jim Jr's parents were James Madison "Matt" Browning (1824 – 1910) and Anastasia "Stacie" Coleman
(1830 – 1926).
There are eight trees that list James Madison Browning and Harriet Ann Stone on WorldConnect:http://wc.rootsweb.ancestry.com