could this be your James on the 1901 Irish census ?
http://www.census.nationalarchives.ie/pages/1901/Westmeath/A...His occupation is shown as 'Constable R.I.C' - i.e. police, and the couple are living in Athlone, Co. Westmeath. Place of birth for James is given as Sligo ...
Have you found them on the Irish 1911 census ?
That should show number of years married which would help search for a marriage for them. A cert would show useful clues - such as occupations, residences for the bride & groom and father's names..
Shane