It appears we have an ID on the Ottawa shooter.
Police sources have confirmed to CBC News the dead shooting suspect is Michael Zehaf-Bibeau, a Canadian born in 1982.
The surname Zehaf looks vaguely Arab; this site has him down as "of Algerian descent." That would make him ethnically Muslim. The first name of Michael leans towards a more assimilated family, and the secondary surname of Bibeau leans French-Canadian; a quick Google notes a Antoine Bibeau who's a Quebec-born goalie in the Toronto Maple Leafs' farm system.
Ottawa is right on the Ontario-Quebec border, so a guy who's name points to an Algerian-French hybrid would be a short drive from home turf for a guy with that surname set.
Terrorism/jihadi just jumped rather high on the list of reasons for the shooting, but we don't have a history on the guy yet that I've seen.