I found a Willie b. Sept. 1887 to Scott and Mollie. On some records Mollie is Mary E. (common nickname for Mary) Dau. of this couple is Mary Ellen or Polly Ellen ( Pollie another common nickname for Mary) . There is another son b. 1886 unnamed. Polly/Mary and Luther were b. 1891 and 1893. Didn't find a birth reference for Scott (jr.) b. 1896. In 1900 Scott Barker has a very young wife, unless it's a typo, named Nora.
The childrens birth records are from Fallville and Elk Creek, you might want to write to those town clerks and see if you can obtain actual copies which might contain details not shown on the web. The web doesn't list the mother's maiden name, just Mary or Mollie.
Virginia, Marriages, 1785-1940
Citing this Record: "Virginia, Marriages, 1785-1940," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XRZZ-Z24
Name: Scot Barker
White Age: 21 Birth Date: 1858 Henry, Va. 1st marriage
Father B. Barker Mother P. Barker
Marriage 16 Jan 1879 Grayson County, VA
Spouse Mollie Sage
White Age 16 Birth Date: 1863 Grayson 1st marriage
Father V. B. Sage Mother: Betsey Sage
Indexing Project (Batch) Number: M86875-3
System Origin: Virginia-EASy
GS Film number: 31758
Reference ID: reg2 p38 #5
Virginia, Births and Christenings, 1853-1917
Citing this Record: "Virginia, Births and Christenings, 1853-1917," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/X5JM-BT1
Name: Willie Barker White Male
Birth 10 Sep 1887 Grayson Co., Virginia
Father Scott Barker
Mother Mollie Barker
Indexing Project (Batch) Number: C00487-4
System Origin: Virginia-EASy
GS Film number: 2048447
Reference ID: p 285
___ Male, birth: 3 July 1886 Elk Creek, Grayson, VA https://familysearch.org/pal:/MM9.1.1/X5JJ-5FJ
Polly Ellen birth 1 November 1891 Fallville, Grayson, VA https://familysearch.org/pal:/MM9.1.1/X5JJ-H4D
Mary Ellen birth 1 November 1891 Fallville, Grayson, VA https://familysearch.org/pal:/MM9.1.1/X5JN-PJM
Luther birth 5 June 1893 Elk Creek, Grayson, VA https://familysearch.org/pal:/MM9.1.1/X5JJ-2CS
U S Census, 1900 Elk Creek District, Grayson, VA
Citing this Record: "United States Census, 1900," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MMNQ-71P
Head Scott Barker M 40 VA
Wife Nora Barker F 15 VA
Son William B Barker M 13 VA
Dau Pollie E Barker F 9 VA
Son Luther T Barker M 6 VA
Son Scott Barker M 4 VA