If I use the national index, there is no Ida Quinney that age; no Hugh Quinney that age; a Harriet Quinney,(sister) born 1884 in Wisconsin, located in Wisconsin; three John Quinneys, copied here: QUINNEY, John Self <1814> M W born ENGL in OH QUINNEY, John W. Self <1832> M NA NY WI QUINNY, John Self <1842> M W IREL PA no Jasper Quinneys; a J.S. Quinney in AL born 1848
I would guess, since the children aren't found, that the name Quinney might be misspelled by the census taker or the transcriber. I will do some more searching, and get back to you. Any idea on what other state it would be?