I very much agree with Delfina. You don't pay just for the feed and hay. You either have to board (which is not always cheap) or keep in your place (with all work and maintenance), plus vet/farrier/dewormer/dentist/etc. I'd look into the lease as a start, and then if you think you are ready and your daughter doesn't lose the interest into the owning one. BTW, even with the own horse/lease I'd still recommend for your kid to keep taking lessons at least once/week (learning how to ride correctly never hurts :) ).
P.S. Yeah, $140/week is expensive!
"Life isn't about waiting for the storm to pass: it's about learning to dance in the rain..."
"When we are no longer able to change a situation - we are challenged to change ourselves."
"How people treat you is their karma; how you react is yours."