An Australian researcher, Peter Savage, is interested in the family listed below.I suggested that an enquiry on this forum might produce further information.

His contact addresses are:
Email:-
Web Page URL:- http://www.wantree.com.au/~quartz/

Location:- Wanneroo, WA, 6065, Australia.

GREEN, Charles Percival s/o Henry Birket GREEN & Ella Florence MOORE
chr 27 Jun 1841, Douglas, St George, IOM
also
GREEN, John Edward s/o Henry Birket GREEN & Ella Florence MOORE chr 27
Jun 1841, Douglas, St George, IOM (note date) and
GREEN, Wm Moore s/o Henry B. GREEN & Ella Cathne MOORE chr 14 Aug 1836,
Douglas, St Barnabas, IOM

Henry Birket GREEN s/o Wm GREEN & Elizabeth chr 05 Mar 1812, Douglas,
St Mathews, IOM

Henry Berkett GREEN m Ella MOORE 01 Dec 1834, Braddan, IOM
but he may have married previously as..

GREEN, Henry Birket s/o Henry Birket GREEN & Mary chr 18 may 1838,
Douglas, St Barnabas, IOM also

William GREEN m Elizabeth BARNES 18 Aug 1807, Douglas, St George, IOM

The only prior reference to a William GREEN on the Isle is:
s/o Sam GREEN chr 09 Dec 1676, Kirk Michael, IOM

There are too many Ellnr MOOREs to safely predict which is yours!
The closest would be:

MOORE, Elleanor Moore d/o John MOORE & Catherine MOORE chr 12 may 1816,
Kirk Rushen, IOM....but others christened 1811, 1809 etc may also be
candidates.

Frances Coakley's "Manx Notebook" site will have something on this
family