Not that it will do much to alleviate the problem of no sourcing for those working on the profile . . . just wanted to add that:
*Lunenburg County was established on May 1, 1746, from Brunswick County.
*Brunswick County was established in 1720 from Prince George County.
"In August of 1702 the General Assembly declared the lands of Charles City County on the south side of the river to be Prince George County. After the General Assembly action, the County officially was established in July of 1703.
http://www.princegeorgevahistoricalsociety.org/history.html
*Before August 1702 Prince George County was Charles City County, official in July 1703.
*Before it was Charles County it was a Corporation of the Virginia Company May 1607-13. (Before the time of Thomas Hall b. ~1702
" From May 1607 until 1613, the area that would become Prince George County was a corporation of the Virginia Company. Monthly courts were held on this land from about 1623 until it became inconvenient for the settlers on the south side of the James River to make the water crossing. " (Ibid)
*Monthly courts were held in Prince George County from ~1623 until, IT SEEMS, 1702 which is inferred as the time the settlers on the south side of James River became Charles City County.
So records of a a birth in Jonathan Creek could have been recorded in Charles City County, before a portion of it on the south side of the river became Prince George County and/or records might be in newly created Prince George County.
*1702 is not certain it is "about" so IF that year might be an actual birth year, then either Prince George, or Charles City County would have been the county in which Jonathan Creek was located.
Apparently Halifax county was created from Lunenburg county at some point which may or may not have any bearing on where current colonial and pre colonial Virginia records might be located.
*A clue: "The father of Jesse Hall is believed to be Thomas Hall, who was born on Jonathan Creek, Lunenburg County, VA ca 1702. He died in Bedford County, VA on 10 May 1794." (a family genealogy, no source, but a clue that might lead to somewhere useful: )
(first section after intro:
https://sites.google.com/a/danmohn.net/highland-homepage/genealogies/my-family-roots/hallfams )
*two more clues from an unsourced genealogy:
Tax rolls 1767 Pittsylvania, Virginia, United States
Died Bef 10 May 1794 Bedford, Virginia
http://highlandhomepage.danmohn.net/showtree.php?tree=high2
Someone who can get past the Ancestry paywall, or the The New England Historical and Genealogical Register paywall might be able to verify the citation which was provided - how iffy the documentation cited, may or may not be.
Seems the Library of Virginia might be a source for all the records available.
https://www.lva.virginia.gov/
Happy Hunting!