just to correct one item - I an tax resident in both UK and IoM - I commute between two (partly as a close friend had a severere stroke over 2 years ago and I manage his household affairs)
but more relevant - the family you claim is wife to adam is:

Ann Corlet - probably widow of John -
will 1738 - d 12 sep;dau elinor cain,margt quiggin als cain (son wm) m Mic 17080831] ;
gch john cain,pat cain(sheep between her + Gilbt Corlet),joney cain;dau-i-law ann cain;son patk cain exec[see m/c old mic #69]

the marriage contract Old Mic #69:
dated 2 nov 1717;john caine + ann als corlett obo son pat;elinr quayle obo dau joney(her fa dead);to marry before st thomas day at kk michl;
Caines to give half land;elinr to give over + above joney's fa share 40s + bed etc;witt tho quayle x;jo caine x;court may 1718
7870:
Ellinor bapt Mic 16860903 - unmarried ? in Mo's will
Margt bapt Mic 16880903 ->m John Quiggin Mic 17080831
Pat bapt Mic 16930806 ->Jony Quayle , then Ann corlet

have fam of wm quiggin if interested

Pat Cain m Jony Quayle mic 17171210
Ch:
John Mic 17181116
Jony Mic 17210604
Patrick Mic 17230709
Jony Quayle's will - d 23 jan 1724;sis-i-law elinor;mo-i-law alive;bro-i-law wm;husb patk;
unnamed ch ua uncles John + hugh Quayle;
witt Tho Corlet x + Wm Quayle x both sick + dangerously ill by probate in Feb;

Pat cain m Ann around 1732/1733 marriage not found but she had ch by a previous husb - son Philip (there is a gap in ballaugh reg in this period
I suspect she is ann garret als corlet - 1729 posthumous son Philip bapt Bal 17291207 (she married John Garret Bal 17280204) - there is a will not yet seen
Wm bapt Mic 17340512 - ballacurleod;
Elizth Mic 17360523
Anne Mic 17370319 - b'curleod
Mary Mic 17400122
Ellinr Mic 17430226 - b'curleod

Ann Cain als Corlet - his 2nd wife (and her 2nd marr) 1756:
d end mar;dau elizth,ann,ellinr (younger);son philip (+ his ch)[?bapt];husb pat
Pat Cain's will:
d 20 sep 1765;ballacurleod;dau ann,elinor,elizth exex;son patt