There is more than one John James Quine in this age, but for the next generation this looks most likely, with profession and parish fitting this person:

1881 census at 81 Glen Rd, Lonan born c 1865
John James QUINE Head M Male 41 Maughold, Isle of Man, England Miner At Lead Mns
Margrett QUINE Wife M Female 50 Lonan, Isle of Man, England Wife
John J. QUINE Son U Male 16 Lonan, Isle of Man, England Miner At Lead Mns Son
Thomas QUINE Son Male 14 Lonan, Isle of Man, England Scholar

Next generation
John James QUINE born Maughold c1824