Despite the genealogy - no Francis Buck

Ok let's recap why I say Francis Buck of Hucknall Torkard is most likely NOT the father of Charles Buck, our mysterious ancestor.

1.  Francis' wife Theodosia died in 1752.  Charles Buck was born in 1753.  (See the Hucknall Torkard burials in a previous post, showing Charles burial Jan 23, 1820 at age 67.  1820-67 = 1753)
2.  Could Theodosia have given birth to Charles in 1752 & there is some confusion about his birthdate?  Yes.  This is possible.  However, there is no record of a Charles Buck birth/christening in the Hucknall Torkard parish registry in the applicable date range.  Francis' three known sons, William, Thomas & Oliver were duly christened at the parish church & these events recorded in the register.
3.  Francis Buck remarried in 1755.  Does this mean he did not have a son in 1753, named Charles Buck?  No, but see point #2.  No record of Charles being born in H.T. Notts. in 1753.
4.  Francis Buck created a will in 1774 before his death in 1775.  The will ( which I will post, once I figure out how to post PDF's in blogger) does not mention a son named Charles.  It lists his three sons, William, Thomas & Oliver. 
5.  Charles Buck married Hannah Newbut Feb 19, 1775.  Francis Buck died Feb 22, 1775.  (see photo below) Would Charles have married within days of his "father" dying?  Hard to say.  If Francis wasn't Charles' father, what difference would it have made?
6.  In Francis' will, he leaves framework knitting equipment & apprentices to his son William Buck.  Francis had enough goods to justify the making of will at his death.  William Buck later acquires property in Hucknall Torkard.  Joseph Buck Sr (son of Charles Buck) & Joseph Jr were both quite poor.   -- much more on this to come.
7.  Dad's DNA test (to be published when I figure out the PDF's...) shows several connections to Starbucks.  No Bucks!  More on this to come also.
---
To recap: Why would Francis Buck have a son that was born between his 2nd & 3rd marriages, fail to have this son christened, and leave this son out of his will?  Why does the absence of information mean that Francis Buck had a son name Charles Buck?  Absolutely nothing links Francis Buck of Hucknall Torkard to Charles Buck of Hucknall Torkard besides their surname. 

It seems to me that an error was made when the Buck family went to England in the 1940's to research their genealogy.  I cannot see how they made the connection.  Unless they assumed that Francis Buck must be Charles Buck father simply by looking for "Buck" in the Hucknall Torkard parish register. 

So that is where the matter stands for now....