I haven't had any luck finding info on Moses' parents. Here is a pic of Moses and his wife Dianne Ussery.
I have recently found this though...
KILLIAN, MOSES: Age: 24. Enlisted as Private in Co B 12 Sep 1862 in Cape Girardeau County. Deserted 20 Oct 1862. Returned to command at date not of record. Deserted 10 Jul 1863. According to other records, he was captured in Bollinger County, MO, on 1 Dec 1862. Incarcerated initially at St. Louis, he was sent to City Point, VA for exchange 4 Mar 1863. See Eakin, Missouri Prisoners of War, n.p. Died 25 Nov 1928 and is buried in Thomas Cemetery, Norwood, Wright County, MO.