Hi, Angela:

This looks like your Lawson & Addie in 1910:

Series: T624 Roll: 849 Page: 148
1910 - Jefferson Twp., Knox Co., NE - 4/28/1910
Doll, Roy L. - head - 24 - 1st marriage/2 yrs. - IA/OH/IA - farmer/general farm - rent/farm
-- Addie - wife - 20 - 1st marriage/2 yrs. - 1 child/1 living - NE/WI/IA
-- John - son - 1 yr., 6 mos. - single - NE/IA/NE

This looks like Addie's family with a Doll living with them in 1910:

Series: T624 Roll: 849 Page: 147
1910 - Jefferson Twp., Knox Co., NE - 4/23/1910
Dwinnell, John - head - 50 - 1st marriage/31 yrs. - WI/Maine/NJ - farmer/general farm - own/free/farm
-- Ellen L. - wife - 48 - 1st marriage/31 yrs. - 7 children/5 living - IA/OH/OH
-- Bertha May - dau. - 15 - single - NE/WI/IA
-- Pearl - dau. - 12 - single - NE/WI/IA
Doll, Roy R. - hired man - 21 - single - IA/OH/IA - farm laborer/working out

Addie & family in 1900:

Series: T623 Roll: 932 Page: 127a & b
1900 - Jefferson Twp., Knox Co., NE - 6/16/1900
Dwinell*, John - head - 11/1859 - 40 - married 21 yrs. - WI/Maine/NJ - farmer - own/free/farm
-- Ellen - wife - 12/186? - 38 - married 21 yrs. - 7 children/5 living - IA/WI/WI
-- Maud - dau. - 12/1882 - 17 - single - NE/WI/IA
-- Alma - dau. - 9/1884 - 15 - single - NE/WI/IA
-- Adda - dau. - 8/1889 - 10 - single - NE/WI/IA
-- Bertha - dau. - 8/1895 - 5 - single - NE/WI/IA
-- Pearl - dau. - 12/1897 - 2 - single - NE/WI/IA
Household of Oliver Dwinell & family immediately follows.
*indexed as Durnell

John (Addie's father) & family in 1880 & 1870:

Series: T9 Roll: 744 Page: 255
1880 - Weeping Water, Cass Co., NE - 6/21/1880
Dwinell, Almira - 47 - head - keeping house - NJ/NJ/NY
-- John - 20 - son - single - farming - WI/VT/NJ
-- Oliver L. - ? - son - single - at home - IL/VT/NJ
-- Luthur P. - 13 - son - single - IL/VT/NJ
-- Charley D. - 7 - son - single - NE/VT/NJ

Series: M593 Roll: 191 Page: 114
1870 - Mt. Carroll P.O., Fairhaven Twp., Carroll Co., IL - 6/7/1870
Dwinnel, James M. - 58 - farmer - $2,800/1,200 - VT
-- Elmira - 38 - NJ
-- George M. - 18 - NY
-- Sarah A. - 15 - IL
-- John M. - 10 - WI
-- Olive* S. - 7 - IL
-- Luther P. - 3 - IL
*name was written as Olive, noted as a male

Hope there's something useful here. Good luck with your search.

Debra