https://www.wikitree.com/wiki/Governor_Jamaica-1 needs to be merged into https://www.wikitree.com/wiki/Morgan-8161 but it is more involved than I am accustomed to. Dates are not right, relationships are different. Perhaps Governor_Jamaica-1 is not the same Henry Morgan?
Morgan-8161 is your governor but he had no children according to Wikisource ! http://en.wikisource.org/wiki/Morgan,_Henry_(1635-1688)_(DNB00)