I am not related. John T Bain and Annie did not have any known children. She was his 3rd wife was abt 47 when she married John and she had previously been married to John A Sanders with the surname of Ingram.

1900 Glass township/Swifton Town, Jackson, AR
Ella Anderson Aug 1847 IL widow with 2 living children of 9 parents born Virginia
Matilda Ella nee Dyer Fortenberry Poston Nov 1877 IL widowed dtr w/2 children, father born KY. She married Macklin R Fortenbury/Fortenberry 8 Feb 1893. He was born abt 1868; she then
married Alexander Poston 10 Sept 1899 Jackson Co then J S Dunavan 23 Feb 1902 Jackson County he was born abt 1877.
Vernia Fortenberry Apr 1894 AR grand dtr father born AR mother IL
Forest Fortenberry Sept 1897 AR grand son

1910 Jefferson, Jackson, Arkansas
John Bain 1884 AR
Nora GRAY Bain 1883 AR
Walter Bain age ?
Wreatha Bain 1908
Nancy Bain 1851 IL mother father VA mother KY
Osie Fortenbury 1894 AR niece father AR mother IL married Grover Donell 12 Sept 1912 in Jackson Co
Forest Fortenbury 1897 AR nephew married Mrs. Nora Anderson in 1920 who had 3 children.
Johnnie Donnavin 1904 AR nephew father born AR mother born Illinois

Tried to determine if Ella Anderson & Nancy Bain were sisters.

1910 Jefferson, Jackson, Arkansas
A J Whited 1884 AR
Lillie YOUNG Whited 1886 MO
Everett Whited 1909 AR stepson
Luther Ussery 1898 AR nephew
Meg Ussery 1900 AR niece

1920 Jefferson, Jackson, Arkansas
J T Baine 1885 AR
Lillie Baine 1886 AR
Rathey Baine 1908 dtr
Walter Baine 1910 son
Millard Baine 1915 son mother Lillie Young
Boss Baine 1917 son mother Lillie Young
Dewey Baine 1919 son mother Lillie Young
Everett Whited 1909 stp son
Edwin Whited 1911 stp son

1920 Union, Jackson, Arkansas
John A Sanders 1860 Indiana
Annie Sanders 1880 Arkansas
Alfred L Sanders 1890 AR married 9 Oct 1916 Jackson Co
Miss Ola E CLINTON Sanders 1899 AR wife of Alfred
Clendon Claudie Sanders STEPSON 1902 Oklahoma

1930 Richwoods, Jackson, Arkansas
John T Bain 1884
Annie Bain 1880
Mildred Bain 1914 listed as dtr was son Millard Bain married Thelma Scudders 26 Nov 1936 in Jackson Co
Boyce Bain 1916 son
Dewey Bain 1918 son married Charles Marie Duty 10 June 1939 Jackson Co then they remarried 27 Jan 1949
Ivie Bain 1920 dtr dtr of Lillie Young married Kenneth Rains 26 June 1937 Jackson Co

1930 Grubbs, Jackson, Arkansas
Claud Hurley 1902 AR married 18 Feb 1923 Jackson Co
Retha S BAIN Hurley 1907 AR died Solano Co CA 1980
Jewell Hurley 1924 AR dtr
Claud Hurley Jr 1926 AR son
Kenneth J Hurley 1928 AR son
Walter Bain 1910 AR listed as boarder

1940 Grubbs township, Jackson, Arkansas
Dan Bains 1884
Annie Bains 1879
Boyce Bains 1917 - Boyce married Alta Hicks 23 Oct 1940

1940 Grubbs township, Jackson, Arkansas
Walter L Bains 1910 AR married 3 Apr 1937 Jackson Co
Fredale/Fredell RAINS Bains 1922 AR wife
Norine Bains 1938 AR dtr

Annie UNKNOWN Ingram Sanders Bains. Don't know what maiden name was or who her Ingram husband was.

"Arkansas, County Marriages, 1837-1957," index and images,
FamilySearch (https://familysearch.org/pal:

A J Whited married Lillie Young 04 Nov 1906 Jackson Co

J A Sanders age 58 married Mrs. Anna Ingram age 40 in White Co AR 04 Jul 1919, both lived in Newport, Jackson Co.

John Bain age 24 resident of Tuckerman, Jackson Co & Nora Gray age 24 resident of Tuckerman married 18 Oct 1908 Jackson Co.

John Bain age 27 & Mrs. Lillie "Whitard" age 26 both of Tuckerman married 18 Aug 1912 Jackson Co.

John Bain age 42 & Mrs. Annie Sanders age 47 both of Newport, Jackson Co married 31 Jul 1926 Jackson Co.