I don't think its the right Winifred.
On William Kanes 1st World War Service Record (at enlistment 1915), he is aged 37, married to Mary Jane Deraine on 21/9/01 in Newcastle, but only has two children : Samuel b. 11/12/07, and Mary Catherine b. 28/12/09 (both in Bishop Auckland).
The Winifred b. 1912 Bishop Auckland, must be the one died Bishop Auckland age 1 in 1913, as noted by slaw.
Alan.