Frank married Rosie Lee Drgac 20 Nov 1904, Caldwell, Burleson County, Texas, USA. Rosie (daughter of Joseph Daniel Drgac, Sr. and Anna Mynar) was born 9 Jul 1881, Burleson County, Texas, USA; died 24 Jan 1962, Austin, Travis County, Texas, USA; was buried , Slovak Cemetery - Caldwell, Texas, USA. [Group Sheet]

1. Frank Joseph Bednar, Jr. was born 10 Sep 1907, Caldwell, Burleson County, Texas, USA; died 15 Mar 1991, Caldwell, Burleson County, Texas, USA; was buried , New Tabor Brethren Church Cemetery - Caldwell, Texas, USA.
2. Rosalie Anna Bednar was born 29 Nov 1909, Caldwell, Burleson County, Texas, USA; died 15 Dec 1992, Austin, Travis County, Texas, USA; was buried , New Tabor Cemetery - Caldwell, Texas, USA.
3. Millie Otilda Bednar was born 20 Oct 1914, Caldwell, Burleson County, Texas, USA; died 8 Nov 1997, Grain Valley, Jackson County, Missouri, USA; was buried 11 Nov 1997, Mount Washington Cemetery - Independence, Missouri, USA.
4. Lenora Josephine Bednar was born 19 Mar 1920, Caldwell, Burleson County, Texas, USA; died 1 Jan 2009, Austin, Travis County, Texas, USA; was buried 6 Jan 2009, Cook-Walden Capital Parks Cemetery and Mausoleum - Pflugerville, Texas, USA.