William is on the 1911 census with his parents and five siblings living at 15 New Street Birtley R S O Durham, Birtley, Durham
William and Margaret Burns are still living at 15 New Street Birtley after the war, according to electoral registers.
Until Spring 1923 in fact.
Autumn 1923 sees a change.
Polling District C. Parish of Birtley.
Burns, Margaret (residence) E Sec. 22D
Burns, William E Sec. 22D
Burns, William (Junr.) E Sec. 22D
Just the one William Burns, plus Margaret, listed in Birtley in Spring 1924.
Doesn't mean that either William died then of course, but on FreeBMD there's only one William Burns death in Chester le Street district from 1911 until 1938 (when it was abolished)
March 1924 Chester le Street 10a 833
Burns, William
age 22
Looking around, William junior in Birtley does seem an obvious candidate?