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There are good resources available online for Essex going back to the 15th century at least. You haven't mentioned what original sources you have used, but the best place to start is the Medieval English Genealogy site (with resources up to about 1600):
http://www.medievalgenealogy.org.uk/sources/olmed.shtml

Essex Archives will be very useful:
https://www.essexarchivesonline.co.uk/

This has the 1483 will of Richard Haddok senior of Leigh. (Unfortunately not available online.)
https://www.essexarchivesonline.co.uk/result_details.aspx?ThisRecordsOffSet=2&id=1059383

Also a search for Common Pleas and Kings/Queens Bench records:
https://www.medievalgenealogy.org.uk/aalt/cp40_search.php

You can use wildcards, for example Had*o*k, to find spellings like Hadok, Hadock, etc. They are as far away as Northumberland, but also several in Leigh on Sea:

1396 Haddok, William, of Legh
https://waalt.uh.edu/index.php/CP40no541Index
http://aalt.law.uh.edu/AALT6/R2/CP40no541a/aCP40no541afronts/IMG_0301.htm

1472 Haddok, John, son of Haddok, William, of Leygh, Essex, "muskelman" or husbandman
https://waalt.uh.edu/index.php/CP40/841
http://aalt.law.uh.edu/AALT2/E4/CP40no841/aCP40no841fronts/IMG_0641.htm

1505 Hadok, Richard, of Lee, husbandman
http://aalt.law.uh.edu/Indices/CP40Indices/CP40no971pl.htm
http://aalt.law.uh.edu/AALT1/H7/CP40no971/aCP40no971fronts/IMG_0999.htm

1536 Haddok, William, of Lee, Essex, mariner
http://aalt.law.uh.edu/Indices/CP40Indices/CP40no1088/CP40no1088Pl.htm
http://aalt.law.uh.edu/H8/CP40no1088/aCP40no1088fronts/IMG_2100.htm

I suppose muskelman must be about mussels rather than muscles.

Either Jacob or James could be the English translation of Jacques.

Below you can search the French National Archives. There are quite many hits for ROFFIGNAC or ROUFFIGNAC, for example Jacques de ROFFIGNAC, chevalier, sieur de MALSAC (or Marzac).

https://www.siv.archives-nationales.culture.gouv.fr/siv/cms/content/display.action?uuid=Accueil1RootUuid&onglet=1

Father:Thomas McKee. We Reside in Greenock, Scotland.

Hello Keri.
My mother's maiden name was McKee. She was born in Glasgow in 1926. Her father was William Grant McKee, born in 1888 in Glasgow. He married Dorothy Miller. William's parents were James McKee, born 1860 in Glasgow, and Agnes Elizabeth Grant, born 1860 in Glasgow. James was the son of Henry McKee, born 1835 in Ireland, and Anne Reynolds, born 1837 in Ireland. I haven't been able to find Henry McKee in Ireland or his ancestry.

Samuelis is genitive. Filia/filius Samuelis = daughter/son of Samuel.