I cannot find this census entry. I have tried my most clever searches without success. I give up and declare "no census entry" for this person. A small reward for the first to prove me wrong.
The family moved from Keya Paha, Nebraska to Lehigh, Iowa between the 1910 census and Caroline's death in 1928. However, the Bechtel's have a history of avoiding census takers - especially in Iowa, so I suspect they were just missed.