Conner married Rachel T Goff on 26 May 1867 in Fayette, Illinois, United States. Rachel (daughter of Robert A Goff and Sabrina Rick) was born about 1836 in Ohio, USA; died on 7 May 1884 in Neosho, Newton, Missouri, USA. [Group Sheet] [Family Chart]

1. Sarah E. Core was born about 1862 in Missouri; and died.
2. Beverly H. Core was born about 1869 in Illinois; and died.
3. Joseph Core was born about 1871 in Illinois; died on 8 Feb 1926 in Durango, La Plata, Colorado, United States.
4. Mary Core was born about 1878 in Missouri; and died.
5. Charls Core was born about Dec 1880 in Missouri; and died.