The way i train our pups is to do as you are doing really. I put them out to toilet every 10 - 20 mins, also when they wake, when they have eaten, when they have had a drink etc. If you watch them carefully you can usually tell they are going to toilet by there body language..esp the poop's as they often circle.
I take them to the garden..i have a stone chip area that the dogs are allowed to use and basically wait, usually the first few days they mess around and jump up for attention, i just ignore them until they go, once they start to go i say 'buisy's' (you can say anything really as long as you are consistent
) , then i make a fuss of them and take them back inside. They usually click within a couple of days, sometimes quicker. My youngest pup's are 11 and 12 weeks and they are pretty much trained now, both of them will run to the door to go to the loo and will dart out go and run straight back inside. We still have the odd accident (which i never scold them for) if they do start to go and i see them a simple 'tsssst' tends to stop them and i scoop them up, put them outside and give them the Buisy command.
Anyway thats how i do it and it seems to work fine ...most of the time
Im sure your pup will learn, she's still very young..oh and my pup's (esp the springer) pee in their crates too
Good luck,
Ang x