Going backwards from the census record you could look for a marriage record of Mary Doyle nee Dicher, this could give you her father’s name and her husband’s name, both of which should open up more avenues of research to you : 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.
If you succeed in uncovering her father’s name then you can look for his marriage certificate and also the births/ baptisms of other children. 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
Best regards Michael.