USGenweb has the Texas birth records index online in the archive sites.The index includes the child's name (most of the time -- sometimes it says Inf. of ), birth date, and names of the parents. I did not see a record for Naomi Ruth Williams in 1927 in Willacy county.If you think it's possible that the birth year is wrong, or that the county is incorrect, you can search for yourself here to see if you can find her: http://www.rootsweb.com/~usgenweb/tx/txsearch.htmlhttp://www.rootsweb.com/~usgenweb/tx/txsearch.html
It's also possible that she had a delayed birth certificate, which wouldn't appear here.It would be filed in the city where she lived as an adult, probably.You could also contact Willacy county and see if they have a birth certificate for her that might not have made it into the index.
If you can find Lillie's marriage license application for her marriage to Arvel Bowers it might list the name of her first husband.
I found Naomi in the Social Security Death Index: Naomi Lairson SSN:467-36-2323 Last Residence:77087Houston, Harris, Texas, United States of America Born:29 Apr 1927 Last Benefit:77511Alvin, Brazoria, Texas, United States of America Died:Nov 1979 State (Year) SSN issued:Texas (Before 1951 )
If you haven't already, you might want to order her Social Security Application.She would have filled this out, and it should list the names of both of her parents.Her death certificate should have the same information (to the best knowledge of the informant).Here is the information from the Texas Death Index.www.vitalrec.com will give more information on how to order the death certificate. Naomi Ruth Lairson Death Date:20 November 1979 Death County:HARRIS