Your post exactly highlights the problem with this lineage - and so many others on the net that are (even worse than not sourced) are sourced poorly. Actually, in the case of Peter Noblett, I would say not sourced at all.
Picking apart the quote, provided on the website ttp://jlwhite-online.com/noblitt3.HTM, the first issue is with the statement "Maryann's Noblitt family genealogy is well documented..." Where is it well documented? It is not documented on this site. Merely saying that you took information from a book is not the same as making a statement and providing a reference to the specific page with or without a direct quote to support.
The sources provided in this quote - and used (re-copied) throughout the internet are:
Noblit, John Hyndman, "Genealogical Connections Relating to the Families of Noblet," 1906.
Noblitt, Loren Scott, "Down the Centuries with the Noblitts," 1956.
Carruth, Lela Grant, "From Whence Ye Came," 1982.
Halberts Publishing Co., "Three centuries with the Noblett family," 1995.
Starting with the first, Noblit, 1906, he offers a collection of records of all Noblet/tt/ette/it/itt families from France, other countries in Europe, and in the Americas from the earliest recorded time until the early 20th century.
In his book, he lists in France, the members from Noblett family in question, as well as many other French families by the same surname. Regarding this family he covers most some of the line found here:
https://www.wikitree.com/genealogy/Framberge-Descendants-1
and here:
https://www.wikitree.com/genealogy/Noblet-Descendants-68
that line continues here:
https://www.wikitree.com/genealogy/Noblett-Descendants-42
and it is on this page that we see the line
Robert ->
Claude ->
Jacques ->
Peter
On page 14, Noblit says that the line ends with Robert: he died without children. The individuals Claude, Jacques and Peter are absent from this book. There is no reference to them at all.
We can remove Noblit's 1906 book from the list to support this "well documented tree."
Noblitt, 1956, starts with a chart showing the progenator of this line/tree progenitor as John Noblett. There is no link to a Peter Noblett. Actually, there is no Peter Noblett, father of John Noblett in this book at all.
The two earliest references, one written in 1906 and the other in 1956 do not include the ancestors of Robert: Claude, Jacques & Peter.
So where did they come from? Someone must have uncovered new research and published it. There is no reference to these sources. The other two books are mentioned but no direct reference nor page number offered. In the absence of a source, this tree, from Peter to Robert is fantasy.
I have a copy of Grant, 1982, the SOLE reference to the Noblit family is on page 42:
John married twice. His first marriage was to Elizabeth Dixon, daughter of Simon and Elizabeth Allen Dixon, on October 6, 1787. She was the sister of Thomas Dixon. Nancy Stout, daughter of Charlie and Mary Noblett Stout, was John's second wife. They were married on April 23, 1812.
And the last "reference," Halbert's, 1995, I cannot find a copy of this "book" online. I did find, however, find this:
...
Under the 1988 cease and desist order, the following conduct by Halbert's is prohibited:
* Representing that a book is principally about a particular family name and the history of this family name
* Representing that a book contains information about someone's forebears and their emigration from Europe
* Representing that a book contains information about the heraldry and family crest of a particular family
* Representing that a book explains how a particular family got its surname
*Representing that a book explains why someone's forebears immigrated to the New World (the United States, Canada, and Australia)
*Representing that a book explains why persons with a particular surname immigrated to the New World
*Representing that a book is the result of research through numerous sources by themselves, or someone acting in their behalf, to compile information on persons with the addressee's surname who immigrated to the New World
...
[This article from the March/April 1996 issue of the NGS Newsletter may be reprinted in other publications.]"
Wow. As I type that I begin to realize where these fantasy trees come from.
I was about 85-90% uncertain about this Robert to Peter Noblett connection but after seeing this, I'm inclined towards 99% believing that this is a concocted tree.