Brian Lawson's index has these entries for burials in Braddan:
COTTLE, Cecelia [aged] 2 Bra 29 Oct 1860
COTTLE, Charles [aged] 2 mos Bra 15 Feb 1850
COTTLE, James [aged] 55 Bra 3 Sep 1859
COTTLE, Mary Ann [aged] 65 Bra 22 Sep 1878
COTTLE, Theresa [aged] 24 Bra 4 Aug 1868

I can't see Ada Annie, but 1865 may not yet be fully transcribed.

The 1881 census on FamilySearch has this grandson:
James CUBBON Head M Male 60 Patrick, Isle of Man, Farmer Of 40 Acres
Elizabeth CUBBON Wife M Female 55 Braddan, Isle of Man, ((Farmers Wife))
James CUBBON Son U Male 22 Onchan, Isle of Man, Farmers Son
Catherine CUBBON Daur U Female 19 Onchan, Isle of Man, Farmers Daur
Hannah CUBBON Daur U Female 17 Onchan, Isle of Man, Farmers Daur
John Edw. COTTLE Grandson Male 10 Douglas, Isle of Man, Scholar
Catherine G. PRESTON Granddaur Female 3 Douglas, Isle of Man.
Source Information:
Dwelling Ballacrink
Census Place Braddan, Isle of Man, Isle of Man
Family History Library Film 1342347
Public Records Office Reference RG11
Piece / Folio 5606 / 60
Page Number 6

And also:
Mary A. COTTLE Head M Female 45 England Lodging House Keeper.
Source Information:
Dwelling 65 Derby Rd
Census Place Onchan, Isle of Man, Isle of Man
Family History Library Film 1342347
Public Records Office Reference RG11
Piece / Folio 5605 / 36
Page Number 21

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