Some say John's father's given name was Gwathford (name of an ancient Welsh hero).

Most sources do not agree that John had a daughter because she is not mentioned in John's will, but then, had she died without issue before 1754, she would not have been mentioned.  Of course, had she died without issue, the issue is, alas, not of much relevance genealogically.

1a.  W. Mac Jones. 1927. "Index to Goochland County Wills, Etc., L to W."  Pages 133-143 in (1993) Virginia Will Records... Genealogical Publ. Co., Baltimore, MD (Broderbund CD-174):

p. 138

Robards, John (W), D.B. 7, p. 2, 17 June, 1755.

"(W)" = Will.

1b.  Anon.  1914/5/6.  "Goochland County Deeds and Wills."  Pages 75-82 in (1982) Virginia Land Records...  Genealogical Publ. Co., Baltimore, MD (Broderbund CD-174):

p. 78

Will of John Robards, dated Dec. 1, 1754, proved May 20, 1755, legatees: wife Sarah, son William (land said William lives on) grandson John Robards with reversion to said grandson's brother Wm. Robards.

2.  James Harvey Robards.  1910.  History and Genealogy of the RoBards Family.  Self-published, Whiteland, Indiana (photocopy courtesy of Gerald Lawrence; transcription by Diana Gale Matthiesen).

3.  LDS.  Family Search: Internet Genealogy Service:  AF - Ancestral File (online at FamilySearch.org).

4.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com).

5.  Messages in the Robards Family Genealogy Forum (online at GenForum.com).