Yes, I agree. Sometimes you have to read between the lines to get a feeling of what avenue to pursue. I'm all for respecting family members esp children, but when time is of the essence, all withheld relatable facts can delay or diminish a case. If she is in a vehicle injured, time is utmost. The reason doesn't matter at this time. If she has left of her own will, then so be it, but not responding with all you've got is IMHO counterproductive.
And instead of dithering, how about calling OPP for their dogs and helicopter asap