The 1901 census has:-

at Broughjairg, Ballaugh,

John Quine 40 Braddan
Sarah J 37 Ballaugh
John 10
Catherine 8
William 4
Albert Nephew 8 Braddan
Edward Cannell Nephew16 Braddan
William C Quine Brother 31 Braddan

From the additional relatives you will deduce that Jon Quine is the son of John Quine and Catherine Cowley.

I believe that Sarah J Teare started out as Sarah Jane Kaighin daughter of Ann and links to the will of Thomas as mentioned.

Len Faragher