Your posting is old and probably reviewed by bonifide researchers at some time in the past. Most will do a few searches, finding nothing will not so report.
There are just to many Willie Mae... to research each. Your info appears to come from "family lore." It is often filled with conjectures and just wrong information. And as it moves, facts change. The name Parker is your family tree, but, this "lore" does not identify if she was family or not. Do you have any known connections to her? Was Parker her maiden or married name? She lived in Winters, TX, "way back," what is "way back" based on? If it is based on your age, it could mean the 1990's, if based on your Grandfather... "Her property is still there," meaning her land? If you have more data on this person, it would help.
Based on your family tree and other postings, it "appeared" you are looking for Willie Maybell Wims, daughter of Ina. (Her correct spelling was Mabel).
--There are six family trees that show Nancy Ira Lano Wims, born 20 April 1921 in Runnels, TX. Yours being one.
--This tree has some nice pictures:http://trees.ancestry.com/tree/49497872/person/12990773228?s...
This tree identifies Willie Mabel Tooke, born 4 Jan 1923, died 23 Jan 1999 in Ozona, Crockett Co, TX. So, based on this tree, it doesn't appear this was not the person you sought.
The Old Runnels Cemetery in Ballinger, has a Willie Mattie Parker, Dec 10, 1858 to Sep 4, 1912. Also buried in the cemetery is her daughter, Effie L. Parker. 1898-1978.http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GSln=pa...
I looked through the names transcribed in cemetery listings for Runnels County and found several Willie Mae... but insufficent information on any to further research. I did not find a Willie Mae Parker; BUT, cemetery transcriptions are seldom fully documented. Researchers walk through and note gravestones; but over time, they find broken or missing ones, or one was never there. Or, they just missed the grave. There are eight Willie Mae Parker identified in Texas.
There are quite a few Willie Mae... found in posted family trees, but they would not identify enough information to connect to a potential person.
The 1940 Census showed 3,866 Willie Mae's living in TX, seven in Runnels Co. No Parker, but one of these "could" have married a Parker after 1940. The Texas Death Index showed 1,501 Willie Mae, death between 1903 and 2000, but she may not have died in TX (living with a child in another State). In Runnels, there were several Hallie's, but no Willie.
In obits, several close. This one: Willie Mae Wood of Wharton, TX, born in 1923 as Koehler, had a sister Dorothy Parker. She died August 2007.
I attempted to review Runnels County Recorder documents, but, without knowing an approximate time period she was presumed to be living there, I discontinued the effort.