Sarah Ellen "Nellie" Wallace Yeaton the mother was the daughter of George Benjamin Wallace and Mary Critchett McMurphy born 31 Jul 1844 in Boston, Middlesex, Massachusetts. She married Alvin Gardiner Yeaton July 4, 1874 in Concord, Merrimack, New Hampshire. She was first married to Alfred Addis in 1866, but he passed away in 1869, they had one child who lived to adulthood, a daughter Maud. Two other infant twins died shorty after birth. Alfred and Clair born 25 March 1868. Alfred lived until April 26, 1868, but his sister Clair died on April 20, 1868.
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KL:
I suspect the twins were buried in New Hampshire & Sarah Ellen & Alvin moved to Iowa sometime between 1874 & 1880. Maud appears to have taken Alvin's surname. If you count the children Nellie had, there are 9. I assume she died birthing the last one (Herbert?).
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The 1880 census Des Moines, Polk, Iowa:

Albin Yeaton 29
Ellen Yeaton 33
Maud Yeaton 12
Edith Yeaton 4
James Yeaton 2
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the 1885 census Des Moines, Polk, Iowa:

Alvin Y Yeaton 1885 Polk abt 1849 Male
Maude A Yeaton 1885 Polk abt 1869 Female
Edith Yeaton 1885 Polk abt 1878 Female
Herbert Yeaton 1885 Polk abt 1884 Male
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the 1900 census Henniker, Merrimack, New Hampshire:

Alvin G Yeaton 48
Emma Yeaton 45
Alvin A Yeaton 12
Austin Yeaton 10
Samuel Yeaton 7
William Yeaton 6
Nellie E Yeaton 3
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Not sure where Herbert went.
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Notice the last name on this gravestone-Samuel, son of A.G. & E.M. So Alvin married Emma between 1885 & 1892 & then moved back to New Hampshire between 1892 & 1895. Could not find any of this family in 1895 census.
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in same lot:
Anne Lindibaum, Samuel M.Yeaton, Eugene Yeaton, Eva Yeaton, Grace Yeaton, Mattie S.Yeaton, Minot Yeaton, Nellie S.Yeaton