1. William S. (b.~1867 NY)
2. Frank (b.~1874 NY)
3. Minnie May (b.~1877 MI)

siblings:

none?

Research of Kevin Everingham of MI, 2013

1870 CENSUS Hartland, Niagara, New York (Pg.611, Aug 5, 1870) ... William Everham 54, b.NY, farmer,.. Jane Everham 48, b.NY,.. Byron Everham 28, b.NY, farm labor,.. Sarah Everham 20, b.NY,.. William S. Everham 3, b.NY. even though this census does not specify relationship... I believe Byron's wife and son are living with his parents in this census.

1875 STATE CENSUS is this William Everham b.~1867 NY, son of Byron & Sarah? Van Buren, Onondaga, New York... Rufus, Foster 58,.. Phebe Foster 56, wife,.. Emma J. Foster 20, dau,.. Willie Everham 8, b.Niagara, adopted son.

1877 Van Buren Co. MI Birth Record (Pg.345, #285)... Minnie May Everham, female, b.30 Aug 1877 at Covert, Van Buren, MI, d/o Byron & Sarah Everham, both parents born in New York.

1878 National Archives & Records Admin (Pension files)... Pvt. Byron A. Everham, of Company A, 3rd Reg, NY Cavalry... Pension Record 28 May 1878.
other Pension files list Byron A. Everham,.. family connected; Sarah Everham,... William Everham.

1880 CENSUS Covert, Van Buren County, Michigan (Page 404D, #753)... Byron Everham 37, b.NY,.. Sarah Everham 29, b.NY.. Frank Everham 6, b.NY,.. Minnie Everham 2, b.MI.

Cemetery Records at Orthodox Friends Cemetery, Johnson Creek, Niagara, NY
have Byron Everham (1844-1879) & Sarah (1851-1881) "his wife" listed on the same stone.
This may not be the correct Byron Everham OR the Byron Everham of MI was not the correct one... This stone shows he died in 1879,.. but Byron age 37 shows up in a Michigan Census of 1880.