According to Emma L "Hudnell's" death certificate her father was Frank Carter and mother was Ollie Perrin. Source was from the State Sanitorium Records in Mt Vernon where she died.
A copy of the original certificate is available at s1.sos.mo.gov.
Per Illinois marriage transcriptions Olive Perrin, born abt 1860 Lawrence Co IL, married Wm M Carter in Crawford Co IL 18 Feb 1879. He was not Wm M but Wm Franklin Carter born abt 1845 in Crawford Co son of Joseph Carter and Susan Dunlap. W F Carter's first wife was Sarah Barr and they had 3 children.
Olive's parents were Peter Perrin born in Vermont 1808 and Dicy Ann Cox born in NC about 1828. They married in Lawrence Co IL 1854.
Illinois marriages www.ilsos.gov
1880 Martin, Crawford, IL census
Franklin Carter 35 born IL
Oley Carter 19 born IL wife
Joseph Carter 13 son
Bengaman (Franklin) Carter 11 son
Elvera/Elvessa Carter 08 dtr married Joseph Prier in 1891
Chester Carter born Feb 1880 son
1900 Independence township, Saline Co IL census
Ollie Carter born 2/1859 IL, widow, stated she bore 9 children and 4 were living. Her father was born in VT mother in NC.
John E Carter 10/1884
Lora E Carter 05/1891
William Carter 11/1894
About 1902 Ollie Carter married John Fritz/Frits born abt 1866 KY. They lived in Independence. This time Ollie said there were 6 children, 4 living. In household were Elmer Carter 17, Will Carter 13, Levi Fritz 17 and Loren Fritz 15.
Laura Emma Carter was not found.
According to Illinois death records "Ellie Threet" born IL 08 Feb 1859 died 16 Jan 1918 in Saline county was buried at Spring Valley Cem in Harrisburg, father was Peter Perrin.
Findagrave records shows a stone there with name of Olive Carter born 09 June 1857 died 16 Jan 1917 "Mother".
John E Carter born 28 Oct 1884 in Martin or Oblong IL died 10 Sep 1957 Houston, Harris Co TX was removed to Conroe TX for burial. Parents unknown, marital status unknown.
John E Carter lived in Sandywoods, Scott Co MO 1940 census was divorced. His WWII draft registration was in Independence IL 1942 naming W M Carter in Conroe TX as contact person.
William Marshall Carter, born 28 Nov 1896 in Harrisburg, IL died 21 June 1961 in Conroe, Montgomery Co TX, father Frank Carter mother Olive Perrin. He was married to Opal Grace Fox born in KS 1908/1909. She remarried in 1983 to James Griffith.