Records of Hester Ann and Elizabeth Frazier joining the Reorganized Church of Jesus Christ of Latter-day Saints in 1862 and 1863, respectively, can be found in Part 2 of the history of Stephen Vestal and Elizabeth Walton Frazier, linked above.
Hester Ann Walton
b. June 14, 1837, Mexico, Oxford, Maine
p. Samuel Walton and Susan Walton
m. Asa Frazier of Henry County, Iowa.
Hester Ann wasn’t yet a teenager, when the Walton family caravan left Mexico, Maine in 1845.
In the 1856 census she was living in Pleasant Ridge, Lee County, Iowa near her mother and siblings. Hester Ann was boarding with David and Mary Barnes, and a child.
Asa fought in the Civil War as a private in the 25th Iowa Infantry, Company G. It was organized at Mount Pleasant, Iowa and mustered in September 27, 1862. They fought in the Siege of Vicksburg May 18-July 4.
Listed in a report by Iowa Adjutant General of Casualties among enlisted Men is Asa Frazier. He died at Vicksburg, Mississippi, on July 25, 1863 of inflammation of the stomach.
In the 1870 census [H]Ester Frazier, with a child Benson F. Frazier, was living with Catharine Glesser, in the Lawrence Ward 3, Douglas, Kansas. Her mother, Susan Houghton, and Stephen Vestal and Elizabeth Walton Frazier and family, were living in Lawrence Ward 4, Douglas, Kansas. According to NFS, Hester died in 1872. I've yet to find a source, or her child.