William was not in the PEI Baptismal Index under Brown or Burns.
Name: William H. Brown
Event Type: Marriage
Event Date: 20 Dec 1906
Event Place: Vermont, United States
Age: 31
Father's Name: Thomas A. Brown
Mother's Name: Hannah Ellis
Spouse's Name: Catherine Jane Cameron
GS Film Number: 540066 , Digital Folder Number: 004357170 , Image Number: 02088
Citing this Record "Vermont, Vital Records, 1760-1954," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XF91-D7F : accessed 28 February 2015), William H. Brown and Catherine Jane Cameron, 20 Dec 1906, Marriage; State Capitol Building, Montpelier; FHL microfilm 540,066.
The funeral of William H. Brown who died Monday will take place at one o'clock from his late home on School Street. He was born 45 years ago on Prince Edward Island and came to Boston when 17 years of age. He was 19 years employed as a travelling salesman, of which 13 was for Trow & Holden company of Barre. Two years ago he went to Californa for his health and went into the granite business but was unable to stand the strain of work and came home again. He leaves a wife, who was Jennie Campbell and one son, William Jr. and three sisters and two brothers. Burlington Free Press 23 March 1921 pg 9
Mr Brown was born 21 Nov 1875 on Prince Edward Island, the son of Mr and Mrs Thomas A. Brown. He is survived by his wife Jennie Campbell of Sherbrooke, PQ and a son William; three sisters, Miss Maude Brown of Natik, Mass; Mrs Harriet Fleet of Malden, Mass and Mrs Alex Sipple of Rock Island, Ill; two brothers, Thomas of Somerville and James of PEI. Barre Daily Times 22 Mar 1921 pg 1