You are right. Mary F Alberson was the daughter of Early Alberson (1780-1865) and Elizabeth Vaughn (1819-abt 1858), and her marriage to John W "Saw" is recorded in Miller county in 1870.
The 1860 Census lists Mary F in the home of the widower Early Alberson, in Tuscumbia, Miller county, Missouri. She was age 6, he was age 80!! Her older brothers were Samuel, born 1848 (died before 1865), and Earley, born August 28, 1851 (he married Harriet Spaulding). Earley, same as his sister Mary, eventually migrated to Oregon.
Earley and Mary F are mentioned in their father's estate papers, further evidence for the fact that Early was Mary's father. A fellow Albertson/Alberson researcher has copies (or transcripts) of those estate papers. I will send you an invitation to the Alberson/Albertson website.
I had listed Mary's F husband as John W Saw; the IGI lists the marriage of John W Saw to Mary F Albertson on 14 April 1870 in Miller county, Missouri. And it seems that John married another Mary; on 16 February 1879 he married Mary E Phillips, also in Miller county. Furthermore, Mary's age in the 1880 Census was 22. However, at the time of the 1900 Census Mary's birth was listed as April 1854, with both her parents born in North Carolina (consistent with data for Early Alberson and Elizabeth Vaughn. In that census, only the youngest son was born in Texas (March 1880), so John & Mary moved to Texas between 1878 and 1880. They were in Justice, Fannin county, Texas in 1900 and by 1910 were in Oregon.
By the way, the IGI has a record for each of the children of William & Luanna Son, including John W. They can be found in the 1850 and 1860 Census in Cooper county, Missouri.