would this document be possible to find at PRONI?
Some of these are on line on Family Search
The Familysearch film of N.I. OAP Pension Claim Searches and other sources were transcribed by Josephine Masterson and are on Ancestry. Browse the collection and read the initial pages for an explaination of contents, but is name searchable.
https://ancestry.co.uk/search/collections/48489There are a few Elizabeth / Eliza Logans but not in Coleraine.
Worth checking the NAI database too though, there are 2 images of a Logan family in Portrush (I entered Logan as surname of father as was for a now married woman/applicant) and of Logans then in Donegal but now in Londonderry.
https://censussearchforms.nationalarchives.ie/search/cs/home.jsp"The Old Age Pensions Act 1908 introduced a non-contributory pension for eligible people aged 70 and over. It was implemented from January 1909. To be eligible, applicants had to be 70 years old, to have an income of less than £31.10.00 per annum and to 'be of good character'.
The NAI background continues PRONI holds Census Search Forms for people living in Ulster, on microfilm, with their contents published by Josephine Masterson.