1) Those are not the children of the Ichabod that I am familiar with,
2) Asher's birthplace of West Virginia is unlikly to convince me he is Ichabod's child.
Now, I am open to suggestions as to how all this is possible, but the known members of this family were in the mid-west all of their lives, to the best of my knowledge, which would make a West Virginia birth not very likely.
However, Ichabod had a brother, Israel Jr, who married Sarah E Jackson on the 8th of December, 1878 [that year may be a transcription error], in Fayette County, IL. I don't know much else about Isreal Jr, so he may possibly be involved. But that doesn't explain your census record with Ichabod as the father. Would you give us details of that 1870 census record as to where exactly and what page?
As a further complication that would need to be clarified, Ichabod and Rosa's son, Eden Israel Aikins, was born 13 Nov 1861.
I do admit that my information on Israel's descendants is mostly compiled from the work of other researchers that aredescendants of that branch of the family, but I have the greatest regard for their work and their integrity, so I suspect it is not in any significant error.
Ichabod Aikins (b.1828-Champaign County,OH d.1902) sp: Rosa Catherine Powell (b.1836-TN m.1853 d.1917) |-2. Mary Alice Aikins (b.1854 d.1855) |-2. Sophia Catherine Aikins (b.1857-Mulberry Grove,Bond County,Illinois d.1942) | sp: Starling | sp: Moses Corwin Abbott (b.1847-Fayette County,Illinois m.1875 d.1905) ||-3. Jemima Isabelle Abbott (b.1881-Illinois d.1956) || sp: General Grant (b.1871-Palmyra,Tennessee m.1899 d.1958) ||-3. Willie Abbott (b.1883-Kansas d.1883) ||-3. Reosa Elizabeth Abbott (b.1888-St. Paul,Neoso County,Kansas d.1914) || sp: Edward Mitchell (b.1889-Byron,Illinois m.1909) |+-3. Martha Alice Abbott (b.1892-Indian Territory d.1976) |sp: George Warren Hewitt (b.1864-Illinois m.1914 d.1934) |-2. Eden Israel Aikins (b.1861 d.1863) |-2. Oliver Elsworth Aikins (b.1865-Illinois d.1941) | sp: Kezia Elizabeth Harter (b.1859-Indiana m.1895 d.1915) ||-3. Frankie Herman Aikins (b.1896-Kansas d.1907) ||-3. Clarence Elsworth Aikins (b.1900-Kansas d.1986) || sp: Living [Aikins] ||-3. Evalina Aikins (b.1906) | sp: Anna Faye Beecher (b.1888-Kansas m.1916 d.1973) ||-3. Carl Aikins (b.1917-KS) ||-3. Forrest Aikins (b.1918-KS) || sp: Living O'Neal ||-3. Harry Aikins (b.1919-KS) || sp: Living Reeves ||-3. Billie Aikins (b.1922-St. Paul,Neoso County,Kansas d.1922) ||-3. Living Aikins || sp: Living Maxwell (m.1939) ||-3. Living Aikins || sp: Zana Jean Neagle (b.1928-Stark,Kansas m.1946 d.1992) |+-3. Living Aikins |sp: Living Michael |sp: Virginia Nellie Neagle (b.1926 m.1946 d.1978) |-2. Josiah Ichabod Aikins (b.1867-Ohio or Illinois d.1930) | sp: Elizabeth Cornick (b.1880-Kansas m.1896 d.1920) ||-3. Nellie Aikins (b.1897-Kansas d.1901) ||-3. Charles D Aikins (b.1899-KS) ||-3. Mabel Aikins (b.1904-KS) || sp: Living Soward ||-3. Emery Aikins (b.1906-KS) ||-3. Glenn Aikins (b.1910-KS) ||-3. Naomi Aikins (b.1912-KS) || sp: Living Phillips ||-3. Maxine Aikins (b.1914-KS) || sp: Living Massey |+-3. Living Aikins |sp: Living Smith |-2. Susan Elizabeth Aikins (b.1872-Illinois d.1903) | sp: M. Allen Cowan (m.1902) +-2. Lawrence Aikins (b.1876-Sullivan,Fayette County,Illinois d.1956) sp: Sarah Eva Herrin (b.1879-Kansas m.1902 d.1956) +-3. Mary Thelma Aikins (b.1909)
Some of these folks listed as Living, no longer are. Certainly open to corrections or additional information, but I might ask for your proof ...