I can see why you're confused.Arthusia always says her parentsare James and Sarah.In the original record, it is her husband Charles who says his father is E.
2 issues - 1.)Why is Arthusia in VT in 1880 and her "parents" are in Kansas.2.) Sarah Carpenter Goodale says she had 7 children with 7 living, but only 5 are accounted for on the 1880 census, and the older 3 are with them in 1870 census, but no others.
I think I've figured out some, but not all of the answers.
Sarah F. Carpenter married Elijah Collamore 2/4/1862 Lewiston, Androscoggin, ME.
Elijah Collamore served in the Civil War Co. G 1st ME Cav. & was a prisoner @ Andersonville. After mustering out he returned to Maine where he supposedly died of smallpox in 1866 in Lewiston.
James Goodale, resident of Lunenburg, laborer (1st marriage) married Sarah R Collemon/Collemore resident of Lewiston, ME (2nd marriage.The marriage took place in Lunenburg VT on 2/7/1867 by Jas. R. Bourne, Pastor.
Elijah Collamare fathered 3 children with Sarah - Florence Jeanette b. ~1863 Arthusia P b. ~1865/6 Carrie b. 1866/7
Carrie remained with James and Sarah as they moved to KS.The 2 older girls were apparently raised by Fishers. (It appears that the Goodale, Fisher, & Nichols families were intertwined, likely multiple times.)
1870 Waterford, Caledonia, VT Fisher, Harvey 43 VT Kezia 40 VT (nee Nichols) Florence G. 7 ME (Collamore)
1880 Waterford, Caledonia, VT Fisher, Harvey 45 NY Kezia 50 VT Florence J. 17 ME ME ME ******* Orso H 18 VT NY VT Servant
2 doors away Nichols, John W. 54 NH - (likely bro of Kezia Fisher) Hannah B. 48 VT Goodell, Arthusia P VT ME ME servant ******* Stiles, Marcus D. 31 VT
New Hampshire Marriages- Oriso H. Fisher b. Concord VT f. John W. Fisher married 9/27/1880 to Florence J. Calmore, 17 b. Bangor ME f. Elijah Calmore
Civil War Pension - late filed remarried widows Elijah Collamore Co. G. 1sr ME Cav widow-Sarah F. Goodale filed 1926 Kansas minor-Fisher, Florence J C, et al filed 1891 VT & KS
1880 Liberty, Woodson, KS Goodale, James 41 VT VT VT Sarah 34 NH NH VT Carrie 13 VT (Elijah's dau) George E. 11 VT Charlie H. 10 VT Lula E. 7 VT Willie N or W 6 NH next door Goodale, Cyrus B. 23 IL NY VT (Md Carrie Collamore/Goodale) Goodale, Soloman 49 Cousin VT VT VT
At this point, you're most effective action would be to obtain Elijah Collamore's pension file, including the widow's and minor's applications.In theory, it should spell out some of the missing pieces.Ancestry has the application #s etc.Good Luck.