This is not Dr Joseph Jackson. Dont connect again. They are cousins from the same line of Jackson and are sometimes confused.
Joseph was born in 1711. He passed away about 1772.
Name: Joseph Jackson Gender: Male Baptism Date: 6 Mar 1713 Baptism Place: Breadsall, Derbyshire, England Father: Thomas Jackson FHL Film Number: 1041453
Source Information Ancestry.com. England, Select Births and Christenings, 1538-1975 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014.
Original data: England, Births and Christenings, 1538-1975. Salt Lake City, Utah: FamilySearch, 2013.
FHL Film Number: 1472072
Ancestry.com. England, Select Deaths and Burials, 1538-1991 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014.
Original data: England Deaths and Burials, 1538-1991. Salt Lake City, Utah: FamilySearch, 2013.
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Featured National Park champion connections: Joseph is 16 degrees from Theodore Roosevelt, 20 degrees from Stephanus Johannes Paulus Kruger, 17 degrees from George Catlin, 14 degrees from Marjory Douglas, 22 degrees from Sueko Embrey, 18 degrees from George Grinnell, 28 degrees from Anton Kröller, 17 degrees from Stephen Mather, 22 degrees from Kara McKean, 17 degrees from John Muir, 18 degrees from Victoria Hanover and 22 degrees from Charles Young on our single family tree. Login to find your connection.
The Cumbria archives have records for Jacksons in Westmorland from at least the 1560s (link further down below.) And also there are lots of mentions of Jacksons in Westmorland at the National Archives - https://discovery.nationalarchives.gov.uk (Obviously, Jackson is a name that is found all over England. Where did the link to Knock come from in the first place?)
http://archiveweb.cumbria.gov.uk/calmview/advanced.aspx?src=CalmView.Catalog
The following may be of interest?
PROB/1692/AINVX29 Administration and inventory of Edward Jackson, of Knock, Long Marton, Westmorland. Diocese of Carlisle probate records. 1692
PROB/1721/WINVX73 Will and inventory of Thomas Jackson, yeoman, of Close House, Knock, Long Marton, Westmorland. Diocese of Carlisle probate records. 1721
PROB/1746/AINV54 Administration and inventory of Jane Jackson, widow, of Knock Close House, Long Marton, Westmorland. Diocese of Carlisle probate records. 1746
And these from the Derbyshire Archives show a Joseph Jackson of Breadsall still in Breadsall after the birth of Nathan Jackson in Knock - D37/MT/1132 Title Closes on Higham Hillside and other lands: Bond in £1200 by Richard Lee to Joseph Jackson late of Dronfield now of Breadsall gent. Dated 6 May Date 1769
D37 M/T1129. Consideration £1850, and £600 principal on a mortgage due to Joseph Jackson late of Breadsall gent. deceased; and £300 principal on a mortgage owing to the executors of John Linley of Chesterfield. Dated 8/9 February Date 1782
https://www.derbyshire.gov.uk/leisure/record-office/records/catalogue/catalogue.aspx