1852 Tama County lists 52 families, not organized by township.
1854 Tama County lists 229 families, organized by township.
The 1873 Iowa State Census for Tama County has been lost, but we have the Population Totals.
1895 State Census for Indian Village Township
1895 State Census for Carlton Township

Population totals for each county, from state censuses up to 1869, are here.

The 1885, 1895, 1905, 1915, and 1925 Iowa State Censuses are available at FamilySearch.

1860 US Census for Tama County and images
1870 US Census for Carroll Twp, Tama County with images

The 1880 US Census is available at FamilySearch.

The following are just images, so they are not as convenient as the transcribed records above. They are not searchable, and you can't copy and paste out of them. However, sometimes you can learn things from the images that you don't find in the transcriptions.

1900 US Census Records for Story and Tama Counties, Iowa
1910 US Census Records for Story and Tama Counties, Iowa

1850 US Census Records for
Page, Polk, Pottawattamie, Poweshiek, Scott, Tama, and Taylor Counties

Note: the 1850 US Census lists only 8 people in Tama County, all members of the Asher family. See Population of Tama County for more on this.