Handwriting and spelling are bad in many censuses, and this was a Palmer family:
In the 1900 census they are recorded as Parmer.
The son John M. registered for the draft 1918 in Lincoln, married Verna Garroutte of Windsor 1919, and was in Johnson Co. 1920.
The daughter Emma married John H. Wenig of Benton Co. 1919 and they are listed in Cole Twp. as "Winig" 1920.
The parents John F. and Sarah were apparently missed in 1920 but are listed in Lincoln 1930-1940, and buried in Warsaw:http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GSln=pa...