Looking for Murphys of England Balham

Have the original birth certificate of Phyllis Ellen Murphy, Born January 20, 1912 at 4 Chesil Place -Balham Sub district: Streatham, Country of London, Registered in Wandsworth. Father: Charles Murphy, Mother: Phyllis Caroline Murphy( formerly Martin) Baptised: Arcension Church - Balham Hill February 25,1912 .

Phyllis sister is Florence Ada Murphy born January 27, 1913 , Surry , England.

Lots of information on the Martin Family:
Phyllis Caroline Martin ( Phyllis Murphy Grandmother) Born December 2, 1891 at Portland Cottages, Balham - registered Wandsworth.
Father: William Henry Martin, Mother Ellen Jane Martin (formerly Robinson). Bith registered January 19, 1892 signed by Ellen J Martin at 4 Hazelhurst Rd, Lower Tooting. Mother Phyllis Robinson died March 15, 1912, age 70- interred at Streatham Cemetary Grave #495.

Mary Ann Martin ( wife of Edward Charles Bennett ) died July 18, age 43 interred at Streatham Cemetary Grave # 670G

William Henry Martin died June 22,1925 age 28, interred at Tooting Churchyard 868 Garratt Lane, Tooting.

My Grandfather Charles Murphy said his family was from Cork , Ireland and had a large family. I met one of his sisters who resided in Penetanguish,Ontario.

My Grandfather said they sailed to Canada in 1923 but cannot verify this date.

Thanks

Bette