There clearly is uncertainity as to whether John Paxton (generation 2 in the lineage ) was the son of James Paxton of Ireland or the son of Hugh Paxton of Talbot County, Maryland.
Gary Harvey has good information on James Paxton of Ireland and his children which you should review.
Any assistance a reader may offer will be greatly appreciated! -- jbutler@uh.edu
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John Paxton -- Generation 2