Joseph married Alice May Twitchell on 13 Nov 1887 in , Ogden, Weber, Utah, USA. Alice (daughter of William Barker Twitchell, Sr. and Augusta Hawkins) was born on 1 May 1855 in Salt Lake City, Salt Lake, Utah, USA; died on 5 Mar 1940 in Ogden, Weber, Utah, USA; was buried on 8 May 1940 in Ogden, Weber, Utah, USA. [Group Sheet] [Family Chart]

1. William Byron Moore was born on 12 May 1888 in Ogden, Weber, Utah, USA.
2. Wallace Moore was born on 21 Apr 1891 in Ogden, Weber, Utah, USA.
3. Franklin Charles Moore was born on 21 Jan 1894 in Ogden, Weber, Utah, USA; died on 26 Aug 1964 in Ogden, Weber, Utah, USA.
4. Eli Moore was born on 17 Feb 1900 in Ogden, Weber, Utah, USA.