Hi Clive,
What made you decide that William MOORE s/o Robert MOORE & Margaret CANNON Chr: 21 Oct 1798 Maughold, IOM was the correct W Moore to be the father of William bapt 1830? There were a lot of William Moores, including William bapt 14 Aug 1796 Maughold, son of Ewan MOOR & Jane LOONEY, William bapt 2 Feb 1792 Maughold son of Thomas MOORE & Christian CORKILL, William bapt 20 Dec 1807 Ramsey, son of John MOORE & Margaret KNEALE, plus several in other parishes.
It might mean nothing - William may not have known his grandmother - but he called his only daughter Jane.
By the way, only the IGI has him recorded as William Corteen, because FamilySearch always puts illegitimate children under the mother's surname even when the father's name is given first in the register. The actual entry in the Maughold register reads only: William Illegitimate son of W Moore & Mary Corteen bapt 24 Jan 1830.
Sue