I believe the death date should be 11 Jan 1937 according to newspaper notices:
DEATH: 1937 'Family Notices.', The Sydney Morning Herald (NSW : 1842 - 1954), Tuesday 12 January 1937, p. 10, viewed 28 November, 2011, http://nla.gov.au/nla.news-article17295465
LAWLER.-January 11. 1937. suddenly, Valentine Bernard, dearly beloved husband of Pearl and uncle of Meg. Requiescat in pace. Late A.I.F.
LAWLER.-January 11, 1937, suddenly, Valentine Bernard, dearly beloved brother of Florence, Gertrude. Mrs. H K. Prior, Greet, John, Gerald, Roger, Gus, and Norbert. Requiescat in pace. Late A.I.F.
FUNERAL: 1937 'Family Notices.', The Sydney Morning Herald (NSW : 1842 - 1954), Tuesday 12 January 1937, p. 9, viewed 28 November, 2011, http://nla.gov.au/nla.news-article17295404
LAWLER.-A Requiem Mass for the happy repose of the soul of VALENTINE BERNARD LAWLER will be celebrated this Tuesday at 9 am in Mary Immaculate Church Waverley
LAWLER.-The Relatives and friends of Mrs PEARL LAWLER, MEG, FLORENCE, GERTRUDE, Mrs. H.K. PRIOR, GREET, JOHN, GERALD, ROGER, GUS and NORBERT are kindly invited to attend the Funeral of her dearly beloved husband and their brother, Valentine Bernard, which will leave Mary Immaculate Church, Waverley, this Tuesday, after Requiem Mass commencing at 9 am for Randwick Cemetery. Mrs P. Kirby and Son Ltd., Motor Funeral Directors