Well you say she does not want to be put down: what does she DO when you put her down, is she awake yet happy? Or is she awake and screaming her brains out? Cause at 6 weeks old it is OKAY to put them down when they're awake, even if crying, provided you've ruled out all the things that could make them be crying: check diaper? Are they hungry? Could they have a burp that hasn't come out yet, cause that hurts? Are they laying on a tag that's itching them, or a diaper that's too tight and the plastic's cutting into their little leg or tummy making them uncomfortable? Laying on a bump in the sheet or blanket can be uncomfortable and even make a baby cry! My youngest has the same problem right now, she's almost 3 months old, and wakes the very SECOND I try to put her down off my chest. If I know she's well, clean diaper, fed, been burped, check that nothing's hurting her... I mean, sometimes if you have long hair, a hair can get tangled in their fingers and kinda hurt and they'll scream over THIS! I've actually had that happen so I know, can you imagine? Babies are funny, the little things that they'll cry over! But provided they're all set, sometimes they cry cause they just want to be held. You can only hold them so much, I mean, you have a life. When you have to put her down, just do it. If her screaming sounds panicked or goes on for a long time, go talk to her, reassure her you're here, pick her up for a bit, then put her back down. At 6 weeks that was about when my baby was doing that the most, freaking out over seemingly nothing. Now she's pretty much content as long as she's fed and clean. It's that age, I think. And it's not going to be long before she'll develop ways to amuse herself and you'll be a bit more off the hook then you are! Now, when I put Evelyn down, she still almost always wakes up, but usually she'll just start sucking her fingers and looking around, and not cry until she's hungry again :) Good luck!