It's not clear what is meant by Continental's 'sister airlines'. I can't find anything, on either the Continental website or on Wikipedia, to suggest that Continental trade under a different name or are part of a larger company embracing several airlines.
However, clicking on the 'SkyTeam' logo, on the Continental homepage, takes you here:
http://www.continental.com/web/en-US/content/c ompany/alliance/skyteam.aspx?SID=A0ED41B51C9C4 3CBB81B4AE96D03FA1F
That link suggests that your compensation might be valid for travel with
KLM Royal Dutch, Air France, Alitalia, CSA Czech or Aeroflot. (Contact the airlines to check).
Hoping this helps,
Chris