The entry is from the ngb.chebucto.org website. It's a transcription of the parish records held at the Provincial Archives. These records are a list of baptisms rather than certificates. The actual church records may contain more details.
Mary Kennedy is the name of the mother in the transcribed record. I looked through the parish records of St. Peter and Paul for the Harbour Main District which covers Avondale and there are a small number of Redmonds but none that match your information. Kennedy is a common name in that area but Redmond is normally only found in St. John's and Avondale for that time period.