Well, I'll play devil's advocate then... the kid speaks two language, has numeric orientation, grasps alphabet, all while too short to get into a huge bed... I'm going way out there (granting an assumption of 24 months not spent in a hothouse) and saying you know - you are just looking for validation. I can't remember the book or article - but it claimed most parents of gifted children knew and knew early on... we all think that ALL parents think their kids are gifted but apparently most don't. For what that's worth... She sounds like she is doing fine. Follow her lead. Ignore non-safety related age markings on kid products. If it keeps a kid safe - follow it. But don't shy away from games and puzzles sold for older kids.
And above all, try not to think about it :-) Everybody does better imho without over thinking the "terms". And don't stress schooling yet - American "gifted" programs have a nice name but many would argue the overall academic rigor is better - blanket assumption - in european systems so... grass probably isn't greener. It always comes down to working things out with what you have for the kid in need.
Now go play. You don't "need" educational anything to learn and have fun ;-) Just go play!
