When researching established, legitimate documents, such as the U.S. Census, and the record doesn't match what one believes to be true --- either from family lore or other historical documents --- how does one determine whether the original record-keeper made a mistake or if one just has it all wrong in one's head?
For example, I'm trying to research the Dehler family of Brooklyn, New York, circa 1880s-1960s. Father Lawrence (possibly Lorenz?), mother Rose, eldest daughter Rose, and younger daughter Antonia. There's a US census that's places this family of four with the right ages, right area, right ethnicity --- but "Antonia" is showing as son "Anthony." Do I have the wrong family, or did the census-taker not understand the German accents of the household?