1880 census, Princeton, Indiana
The 1880 census as found on-line shows the following DETERS family in Princeton, Gibson Co. IN:
Barney, 49, head, born Pussia
Mary, wife, 37, born IN
Anna, daughter, 10, born IN
Kate, daughter, 7, born IN
Henry, son, 2, born IN
Barney Hatker, nephew, 19, born Prussia
There was also a daughter, Rose, probably born after 1880.
The death certificate of this Anna (1952, Cuyahoga Co. OH) lists her parents as John Diters and Maria Isfuding.