The marriage certificate of James and Ann Jane will list their residences at time of marriage, James' occupation and names and occupations of both fathers.
The surname is one with numerous variations- McAleese, McAlees, McAllice, McAlice, McLeese, McLees, McAleice, McAleise...
I thibnk I found the family in 1901 census-
10 Mill St., Greenock (all born Ireland)
James McAleese, 49, fitters labourer
wife Ann McAleese, 50
son Wm. Jas. McAleese, 24, distillery maker
dau. Susan McAleese, 19, rope spinner
dau. Lizzie McAleese, 17, wool winder
grandson W. Jas. Alexander, 3
The address Mill Street makes sense as I was told by a friend whose family also lived there that it was full of people from Aghadowey area who came to work in the mills (Aghadowey parish marches Macosquin parish).
If James and Ann Jane died in Scotland there may be more details included on their death certificates. See Scotland's People website to see what is included on Scottish death certificates for 1900s.