Was your grandfather (Claude) born about 1919? If so, this might be a possibility:

Series: T625 Roll: 1767 Page: 19
1920 - 11-Dist., Sullivan Co., TN - 2/27/1920
Depew, Will - head - rent - m - w - 31 - married - farmer/general farm
-- Roxie - wife - f - w - 28 - married
-- Frank - son - m - w - 9 - single
-- Joe - son - m - w - 8 - single
-- Dale - son - m - w - 6 - single
-- Mary - dau. - f - w - 3 yrs., 2 mos. - single
-- Claud - son - m - w - 1 - single
-- John - brother - m - w - 18 - single
TN/TN/TN for all.

Series: T626 Roll: 400 Page: 175
1930 - Northwest Jerome 8-Pct, Jerome Co., ID - 4/3/1930
Depew, William C. - head - own/farm - m - w - 40 - married @ 20 - farmer/own farm
-- Roxie O. - wife - f - w - 38 - married @ 18
-- J. Frank - son - m - w - 19 - single - laborer/farm
-- Joe W. - son - m - w - 18 - single - laborer/farm
-- Dale G. - son - m - w - 16 - single
-- Mary Lou - dau. - f - w - 13 - single
-- Claude K. - son - m - w - 11 - single
-- George S. - son - m - w - 9 - single
-- Ralph C. - son - m - w - 7 - single
-- Flora M. - dau. - f - w - 4 yrs., 5 mos.
TN/TN/TN for all, except Flora (ID/TN/TN).

If the above is your grandfather, this is a possibility for his father living with the father's in-laws in 1910:

Series: T624 Roll: 1501 Page: 49
1910 - 9-Dist., Greene Co., TN - 5/9/1910
Shipley, Reuben F. - head - m - w - 41 - 1st marriage/19 yrs. - VA/VA/VA - farmer/general farm - rent/farm
-- Susan M. - wife - f - w - 39 - 1st marriage/19 yrs. - TN/TN/TN
-- Laura C. - dau. - f - w - 17 - single - TN/VA/TN
Depew, Willim C. - son-in-law - m - w - 21 - 1st marriage/0 yrs. - TN/TN/TN - laborer/working out
-- Roxie O. - dau. - f - w - 18 - 1st marriage/0 yrs. - 0 children/0 living - TN/VA/TN
Wilson, Wallace R. - lodger - m - w - 7 - single - TN/TN/TN

...Claude's father living Claude's grandparents in 1900:

Series: T623 Roll: 1573 Page: 9
1900 - 1-Dist, Greene Co., TN - 6/11/1900
Depew, John W. - head - w - m - 9/1857 - 42 - married 18 yrs. - farmer - rent/farm
-- Eliza - wife - w - f - 10/1858 - 41 - married 18 yrs. - 7 children/7 living -
-- Maude - dau. - w - f - 8/1883 - 16
-- Joh... R. - son - w - m - 7/1886 - 13
-- Willie C. - son - w - m - 12/1888 - 11
-- Roy B. - son - w - m - 6/1891 - 8
-- Julia K. - dau. - w - f - 10/1893 - 6
-- Lida V. - dau. - w - f - 2/1896 - 4
-- Effie J. - dau. - w - f - 2/1899 - 1
TN/TN/TN for all.

Working backwards...

Series: T9 Roll: 1281 Page: 447a & b
1880 - 15-Dist., Sullivan Co., TN - 6/(blank)/1880
Depew, James - w - m - 48 - married - laborer
-- Susan M. - w - f - 40 - wife - married - keeping house
-- Mary - w - f - 12 - dau. - single - at home
-- Margaret - w - f - 8 - dau. - single
TN/TN/TN for all.
next household on page:
Depew, John - w - m - 20 - married - laborer
-- Mary - w - f - 18 - wife - married - keeping house
-- James - w - m - 20/31 - born in May - son - single
TN/(blank)/(blank) for John; TN/TN/TN for Mary & James.

Series: M593 Roll: 1565 Page: 512
1870 - Pleasant Plains, Sullivan Co., TN - 8/22/1870
Depew, James - 38 - m - w - farmer - $800/400
-- Mary S. - 30 - f - w - housekeeper
-- George C. - 14 - m - w
-- John - 10 - m - w
-- Bewel - 7 - m - w
-- Elijah - 5 - m - w
-- Mary M. - 2 - f - w
TN for all.

Series: M653 Roll: 1275 Page: 110
1860 - Gatt Crop Roads P.O., Sullivan Co., TN - July 1860
Depew, James - 30 - m - farm labor
-- Mary - 21 - f - domestic
-- George - 5 - m
-- John - 2 - m
TN for all.

Series: M432 Roll: 897 Page: 96
1850 - 1-Divn., Sullivan Co., TN - 11/1/1850
Depew, Jno. - 33 - m - farmer - $600
-- Mary - 40 - f
-- Elijah - 23 - m - farmer
-- Tom - 22 - m - farmer
-- James - 21 - m - farmer
-- Isaac - 18 - m - farmer
-- Elbert - 16 - m - farmer
-- Sarah - 25 - f
TN for all.

Hope there is something useful here. Good luck with your search!

Debra