"Chef" is French for "Head" as in Head of Household; the census taken in Quebec was in French. He is working as a steward at a club. Given that you found Gladys and Kenneth in Regina, one might assume that they moved there as a family and that Samuel died in Saskatchewan. I have not found a burial for a Samuel Adams in Quebec that is a match.
Saskatchewan has their death index online and I don't find Samuel there either. When Kenneth crosses the border in 1923, he says he is 12 years of age and was born in Montreal. He indicates his nearest relative in Canada is his father, Samuel Adams, in Regina, Saskatchewan, and he is being accompanied by his mother. This was at a border crossing at Eastport, Idaho. Another record from the same day is that his nearest relative in Canada is his mother, Gladys. But I found the card for Gladys on the same day, and she also indicates her husband, Sam, in Regina is her next of kin in Canada.
So, perhaps Samuel didn't die but Gladys left him and took Kenneth to the US. There is a Samuel Adams of the right age living in Vancouver in the 1921 census, working as a clerk(?) in a café. Born 1875 in England, immigrated 1909. Living as a lodger in a hotel. There is a death record on familysearch.org in Vancouver dated June 18, 1935 for a Samuel Adams, aged 60 years, born England, died at the Central City Mission; informants were the police so no further info was available; ie, parents, etc. He was buried at Mt. View Cemetery.
