The state pension was introduced in Britain & Ireland in 1909. To be eligible you had to be 70 or older. Proof of age was required. Because birth certificates only started in Ireland in 1864, most applicants there wouldn’t have had one, and so other forms of proof were used. Baptismal certificates and military discharge certs were acceptable but for others, a check was made against either the 1851 or the 1841 census to see what age you were then. This form requests that census information, and gave where the applicants said they were living at the time of the census. If the applicant was found, the officials usually recorded the whole family, as per the census. In this particular case, Ellen applied in 1915. The officials in Dublin where the census was stored, reported they could not find her in the 1851 census for Kingarve.
The original 1851 census was destroyed in the 1922 fire, but these pension extract forms survived.