For privacy reasons births after 1909 are not public. If the person was born in Nova Scotia and you can prove a close relationship, you can apply for that persons birth certificate. The following website should give you the information you need.http://www.gov.ns.ca/snsmr/access/vitalstats/default.asp
There is no guarantee that the fathers name will be on it but it certainly could be. If they were born in another province, I expect the procedure is about the same. Just find the provincial website and look for "Vital Statistics"