Hi Brenda, I figured out that you're looking for Laura Buckley to find out who her parents were. I THINK this is what you're looking for.
I searched the Census records but didn't find her. However, her death certificate might list her parents.
A Robert Dal Bailey b. 13 March 1908, Missouri died 31 May 1988, Shasta Co. Mother's Maiden Name-Buckley. Source: California Death Index 1940-97, www.ancestry.com.
A Robert D. Bailey b. 13 March 1908, Last Residence=Shasta Lake, Shasta Co. died 31 May 1988. His soc. sec. # was assigned in Arizona before 1951. Source: Social Security Death Index, www.ancestry.com.
I'd request a copy of his obituary from the same sources I cited before. Successful Searching!