I have a feeling you may already have this information. This is not my family. Thought you'd rather hear twice than not at all. Does give full name for Lizzie and son Mack.
TX Dth Idx thru 1976:
Name: Harry Rembert Butler Death Date: 06 Jan 1975 Death Place: San Angelo, Tom Green, Texas Gender: Male Race: Death Age: 61 years Estimated Birth Date: 1914 Birth Date: Birthplace: Marital Status: Spouse's Name: Father's Name: William Thomas Butler Father's Birthplace: Mother's Name: Sarah E. Talley Mother's Birthplace: Occupation: Place of Residence: Cemetery: Burial Place: Burial Date: Additional Relatives: Film Number: 2243875 Digital Film Number: 4167930 Image Number: 2410 Reference Number: Certificate Number 6204 [Informant S. Lucille Butler, wife]
Name: James Mcdonald Butler Death Date: 29 Dec 1965 Death Place: Waco, Mclennan, Texas Gender: Male Race: Cauc. Death Age: 65 years 4 months 28 days Estimated Birth Date: Birth Date: 01 Aug 1900 Birthplace: Oneonta, Alabama Marital Status: Married Spouse's Name: Father's Name: William Thomas Butler Father's Birthplace: Mother's Name: Sarah Elizabeth Talley Mother's Birthplace: Occupation: Retired Machinist Place of Residence: Waco, McLennan, Texas Cemetery: Robinson Cemetery Burial Place: Texas Burial Date: 31 Dec 1965 Additional Relatives: X Film Number: 2117869 Digital Film Number: 4028268 Image Number: 3010 Reference Number: item 6 fn 79983
Name: Sarah Elizabeth Butler Death Date: 02 May 1938 Death Place: Waco, Mclennan, Texas Gender: Female Race: White Death Age: 63 years 5 days Estimated Birth Date: Birth Date: 26 Apr 1875 Birthplace: Ala. Marital Status: Widowed Spouse's Name: W.T. Butler Father's Name: Wm. Tally Father's Birthplace: Ala Mother's Name: Dk Mother's Birthplace: Dk/ Occupation: Housewife Place of Residence: Waco, Texas Cemetery: Rosemound Burial Place: Burial Date: 03 May 1938 Additional Relatives: X Film Number: 2117695 Digital Film Number: 4030408 Image Number: 2590 Reference Number: 24457 [Informant J.M. Butler, probably son James McDonald Butler]
On Find a Grave, someone has posted information on Lizzie and a photo of James "Mack." You might get in touch with those submitters.