Sorry but the James in Lonan doesn't fit the bill as he was born in Patrick and was single...

and the Mona aged 12 was the Daughter of John and Ann so that doesn't help either!

Perhaps they left the Island again before 1891? Quite a lot of manx families moved to Barrow in Furness, Liverpool and so on during the 1880s and 1890s... Some came back, but most didn't.