Douglas "Duggy'" Baker evidently died young. But he and Mary Elliott did have children. I have no information at all on Mary's second husband, William Scott, nor do I know Mary Elliott's middle name.
This first information I'm giving you comes I believe from a descendant of Elliott Baker and Kiziah Brown
Douglas "Duggy" BAKER b 1751; d 1778 PE; m Mary ELLIOTT [after Douglas died; Mary 2m 1782 PE to William SCOTT]
A. Nancy BAKER c1760-1828 m 1796 PE Joseph MORTON
B. Catherine "Katy" BAKER
C. Jane BAKER
D. Jenny BAKER m 1800 PE Richard DAVENPORT
E. Elliott BAKER 1775-1836 PE m 1801 PE Kiziah "Kizzey" BROWN 1790-1862 (dau of Wilson BROWN)
I have this additional descendants of Elliott Baker. I found an interesting Chancery case in Prince Edward County, Va regarding the descendants of Duggy Baker's son, Elliott Baker and Kiziah Brown. It is Douglas B. Baker vs. John B. Baker and the case was in 1857.
Evidently, Kiziah Brown Baker, the widow of Elliot Baker, (Elliott was son of Douglas "Duggy" Baker Jr. and Mary Elliott) had recently died and the heirs decided it would be best to sell about 300 acres of land in Prince Edward County, Va as one piece. Richard Woodson bought the land. In the payout the following "heirs" were mentioned:
Richard W. Baker
Allen E. Baker
John Foster and Susan his wife (Susan C. Baker)
John B. Baker
Joseph or Josiah? Baker dec. whose infants (meaning under-age) children are Josephine Baker and Mary E. Baker. Their Guardian is Mr. Worsham
Jan Swart at firstname.lastname@example.org