When the Old Age Pension was introduced in Britain and Ireland in 1910, for people aged 70 and over, people in England, Scotland and Wales could apply for a birth certificate from the Registrars of Births, Marriages and Deaths because civil registration began in 1834 in those countries.
In Ireland, however, registration only began in 1845, and then only for Protestants, as the Catholic Church was wary of getting too involved with the Government. However, in 1864, the Catholic Church relented, and registration for Catholics began.
Now, roll on to 1910, and Irish Catholics of 70 and upwards applied for the Pension, but had no birth certificates available to them. So, as a stopgap, the Pension authorities were granted special powers to check the 1841 and 1851 censuses to see if the 70 year old applicants were present in one or both of the censuses as children, or young people, with their parents and other family.
Applicants filled out a form in which they stated their name and age, and their parents' names, and of course, where they were living in 1841 / 51. The civil servants then either approved or denied the old folks' applications.
The document you have found looks as if it is one of these applications. Have a look at it for any notes made by the pension department to say whether the application as approved. It might be a tick, or a YES or NO in capital letters.
Hope this helps,