Marie-Anne-Aimée-Alice Aubert, * Mont-Louis QC 9 nov 1885 m Lambert Dillon, MD born Ireland February 1873, Anglican (Henry-Augustus Dillon & Catherine-Henriette Courtney), Grande-Vallee, QC 24 août 1907. Of Lambert and Aimée issued: Aline Dillon, née 1902, Henry Dillon, ne 1908. Did Dr Dillon leave Québec and/or Canada after 1911?

I don't find him in any of the US census after those dates, however, I do find him in England on a visit for the 1901 English Census:

Hornsey, Middlesex
31 Milton Avenue

Wood, Ellen S., Head, widow, age 50, b. Totteridge Herts
Wood, Dorothy E.C., Daughter, age 23, b. Wellington College Berks
Bodkins, Ravenshaw W., Son, single, age 19, student, b. same
Dillon, Lambert C., Visitor, single, age 28, medical practionery, b. Dublin
Cooper, Ada E., Servant, single, age 23, domestic servant, b. Lutton Bridget Lincs.

You are thorough Eileen, the 1901 entry is a help confirming Place of Birth, also perhaps towards finding him after 1911.