I believe this is your GGM's family:
1880 St Louis census
Herman Hansen 40 Denmark, carpenter
Annie Hansen 31 Denmark
Helena Hansen 8 Mo
Mary Hansen 6 Mo [Anna Marie]
Sophia Hansen 4 Mo
William Hansen 2 Mo
1900 St Louis - 2846 Lemp
Anna Hansen, June 1849 Denmark, widow, to US 1869
Willie Hansen, Dec 1878 Mo
Christina Hansen, Dec 1883 Mo
Arthur Hansen, Jan 1888 Mo [Christian A.]
1910 St Louis - 2846 Lemp
Anna Hansen 60 Denmark, widow, to US 1868
Christine Spain 26 Mo, daughter
Charles E. Spain 27 IL, son in law
Christian A. Hansen 22 Mo, son
Christian P. Smith 66 Denmark, brother [Smith = Schmidt]
Clyde W. Clark 35 IL
Anna M. Clark 33 Mo, wife
Hile H. Clark
Clyde W. Clark Jr.
Herman W. Hansen 31 Mo, parents born Denmark
Martha Hansen 29 Germany
Herman Hansen Jr. 8 Mo
Elmer F. Hansen 3 Mo
Here are Christian Hansen and Herman W. Hansen Jr's death certificates listing parents as Herman W. Hansen and Anna Schmidt:http://www.sos.mo.gov/images/archives/deathcerts/1943/1943_0...http://www.sos.mo.gov/images/archives/deathcerts/1914/1914_0...
ADDED: Here is data of this family posted on WorldConnect by a Danish man:http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&d...
But he lists the mother Anna's middle name as Christina and her birth place as Prussia, which conflicts with the U.S. censuses.