Welcome to Ireland Reaching Out! One of the issues with your query is the fact that records for the RC Parish of Dungloe do not begin until November 1876. Loughnaure is a townland in the Civil Parish of Templecrone (where the RC Parish of Dungloe is also located). As this is the case, there will be no baptism or marriage records for anyone from that parish before this time.
Have you had a look at Ancestry.com to see if there are any instances of the family name in trees or messages?