On the 1900 census the J.L. Brazzil... the mothers name was Axie... at least that's how I read it.
I suspect the Axie was a nickname for the name Achsah.A woman age 30 by the name of Achsah Brazil appears on the 1870 census there: 1870 Little River, AR: BRAZIL, Achsah, 30, f, AL Elizabeth, 12, AL George, 9, AR Danl., 5, AR James, 3, AR Wills, 1, m, AR
So IF this James age 3 is the J.L. listed born 1870... the age would be off a little, which is not unusual for the census... as well as birth locations ... then she would not be the mother of your Mary ... but most likely related.