Thank you for the marriage contract information Frances
marriage contract wm quine junr to Margt Halsal that confirms mother as Grace Woods
dated 18? Feb 1768;Wm Quine senr(k Patk) + wife Grace als Woods obo son Wm Quine junr;John Halsal(Kk Patk) + wife Isable als Quine obo dau Margt;to marry within a week;Quine to settle estate Kerroo Codoil after decease;Halsal to give £20;witt Thomas Quine, Mathew Shimmin

For anyone using the following records from (the late Brian Lawson) Family History, Volume III page 23 - 3 publication dated 2008, this now requires correction for the parents
23.7.1 William Quine (4381) was baptized on the 6th of July, 1757, at German. He married Margaret Halsall on the 16th of February, 1778, at Patrick.
23.7.1.1 Margaret Halsall (4391) was born ca 1758. She married William Quine on the 16th of February, 1778 [1768!], at Patrick.

The document above incorrectly records William (4381) as a child of Matthew Quine & Susannah Cowley, the family below.
Matthias Quine born German parish 27 Feb 1725, d 26 Apr 1783 Marown
Married 29 Jul 1753 German parish
Susanna Cowley b 02 MAR 1728 Braddan, d 1 Jul 1779 Marown
Children
Thomas b 1 May 1753 Patrick married Isabel Corkill
William Quine b 06 Jul 1757 German parish (did not marry Margaret Halsall)
Elizabeth Quine b 29 May 1763 German parish
Jane b? [probably child of a second wife]

The marriage contract posting by Frances now confirms the husband of Margaret Halsal as William son of Grace Woods which is the following family.

Listed below is the info I have and any new information upwards resulting from this correction would be appreciated
William Quine - born bf 1721, d 13 Aug 1801
married 10 Feb 1736 German
Grace Woods d 1774
children
Christian Quine born before 1757 d 1827 married William Shimin at Patrick on 29th May 1773 (he died 6th November 1781 at sea)
William Quine married 16 Feb 1768 Margaret Halsal
Ann Quine