A possible way to establish if Martin is related would be to find civil or church records of his marriage. They should provide a fathers name and the place he was resident at the time of his marriage.
Civil registration records are available from the General Register Office (GRO). These start from 1864. You can access the website here: http://www.groireland.ie/research.htm
Most Catholic records are held locally - One site which might be of use is - http://www.irishtimes.com/ancestor/browse/ - where you can ‘browse’ an overview of available records per county. If you have any difficulty, you could try writing to the parish priest for possible assistance.
Best regards Michael.