I don't mean to scare you, and it depends on what you mean by a handful, but this doesn't sound normal for a poodle. She looks to be toy or miniature in size and that just sounds like a lot of hair coming off.
Just as with a human, you should expect to see some loose strands in the comb or brush every time, and since you're brushing for an hour daily, there's no reason I can think of for a poodle to be shedding a lot more hair every two weeks if they're completely healthy.
I'd suggest that you consider visiting with her vet first to ask about conditions which can cause hair loss in poodles. I'd also check with her breeder to ask if they did the full health testing on her dam and sire.
On a different note, since her fur is quite long, when combing (not brushing), can you get the teeth of the comb down to her skin and comb thru to the outside smoothly all over, without catching any tangles?