My Henry and Barbara Trautvetter are living together as husband and wife in Hancock County, Illinois, in 1860, with their children. Their immigration date is unknown, but it likely was in the 1845-1855 time frame. There apparently is another Henry and Barbara Trautvetter living in Baltimore, Maryland, in 1850. Based upon the ages of Henry and Barbara and the children in the enumerations, they appear to be separate couples. All of them are German immigrants.
Never assume that there couldn’t be more than one couple with what you think is an unusual name combination. Do some research.
The sites that do “automatic matching” make it easier than it already is to merge people like this together.