Definately put her down drowsy, but awake. At 9 months old, she is aware of the world around her, and aware that she has waked up in a place different from where she fell asleep - imagine how disoriented you would be! (We all wake up every 90 minutes or so. Adults roll over and fall back to sleep - most of the time without realizing that we've done it - kids have a problem with that sometimes.) Also, I liked Ferber - it's not quite CIO (at least not the way I see CIO described here so often). It's sort of like what Lisa W. described, but start over every night. And we started with three minutes, go in, visit, pat, leave. Five minutes, go in, visit, pat, leave, seven minutes, so on and so on - only, put a cap - ours was 13 minutes. So when we hit 13, we just waited another 13 instead of 15, but you can pick whatever cap you're comfortable with. And the next night, start over with 3 minutes (or wherever you choose to start). It takes 3 days. That's Ferber in a nutshell, though I recommend reading the whole Ferber book "Solve Your Child's Sleep Problems." Worth it just for the chapter on sleep cycles. Always make sure, of course, that there's not a real problem before starting any sort of going back to sleep process. Teething? Growth spurt also might render her legitimately hungry.
Hang in there. You'll all be alright.