There is a connection between the Morgans and Parliaments.
David Parliament b 1803 m Elizabeth Fenner b 1806 on 25 Dec 1823 in Sussex Cnty NJ. Their son Joseph m Nancy Hammel (my great grandparents) 1864 in Sussex Cnty. A daughter Margaret b 1826 m Henry Morgan 1842.
David Parliaments (b 1803) sister Mary (b 1803 m William Morgan..this is probably your connectionIf I can provide any more information please post a reply