I have no connection to family, only listing a possibility. This is a very cinfusung family, so it may not even be the ones you are looking for.
1900 Ky/Floyd Co/Dicks Creek T.J. Burchett 45 (b.9/1854)Ky Ky Ky Julia 33 (2/1867)Ky Ky Ky Amos 5 (12/1894)Ky - Garland 1 (5/1899)Ky T.J. & Julia md 8yrs. Julia had 4 children/2 living
1910 Ky/Floyd Co/Prestonburg Walter Burchett 30 Ky WV Ky Miner/Coal Julia 45 Ky Ky Ky Amos 16 Ky - Garland 12 Ky - Walter 5 Ky Sherilda Coburn(mother)(widow) 46 Ky Ky Ky(She is listed as Walter's mother/assume she married a Coburn after a Burchett) William Coburn 22 Ky - Garland Coburn 14 Ky
1920Ky/Floyd Co/Depot Walt Burchett 35 Ky Ky Ky Miner/Coal Julia 52 Ky Ky Ky Walter 15 Ky - Willie 8 Ky - Lee 6 Ky - Isaac 3 Ky - Surrilda(mother) 65 Ky
1930 Ky/Floyd Co/ Walt Burchett 45 Ky Ky KY Julia 56 Ky Ky Ky Walter 21 Ky - Willie 17 Ky - Lee 15 Ky - Isaac 12 Ky - Troy 5 Ky
There is a marriage record in Johnson Co for Julia Coburn & Walter Burchett 10/21/1904