Cat Nappers, Difficulty Falling Asleep, Restless

None of my babies responded well to the crib or bassinet to sleep or for naps for the first 3-4-5 months. They just seemed to not like to lay flat on their back. They would fuss and squawk and then eventually cry. I think it has something to do with some type of acid reflux type thing that it is just uncomfortable for them. During the day, mine have always fell asleep naturally in a swing or a bouncy type seat where they are a little more upright. At night, they have slept in their car seats inside of the crib.
All of mine have slept through the night from about 6 weeks old - one might have been a hold out to 8 - and all have transitioned to just the crib by around 5 months (maybe 6 for the naps .. my babies love the swing and I won't wake them up and move them .. )
I was a little concerned with the first one and ask the ped if it was ok at a check up. He said absolutely yes! Wherever and however you can both get more sleep is the key.
I would also say that whatever you do, you want them to try to fall asleep naturally on their own rather than rocking them to sleep. That will help them be able to fall back asleep if they do wake up in the middle of the night.
Good luck!

I think that is normal for that age, or at least it was my experience as well. My daughter always woke up right at the 35 minute mark...that is their sleep cycle and until they learn how to fall asleep by themselves (usually not until at least 4 months), they easily awaken. Hang in there...I totally stressed about the sleep thing (still do), but your daughter will learn to sleep in her own time. Just try to give her frequent naps to keep her well rested.

try using the Baby Whisperer's EASY method for a schedule, and the Happiest Baby on the Block 5 s's method. Those two combined will make cio not be a needed thing (at that age)
EASY - when the baby wakes up it Eats. After you feed it, then it has Activity - bouncy seat, tummy time, sitting up and playing with toys, swing, exersaucer, etc. When the baby gets fussy check the B's - boredom, butt or burp. If it's none of those then off to Sleep. Don't wait for the baby to do more than get the tiniest bit fussy, then see what is causing the fusses - if it's just that they needed their diaper change do that, but if it's not the activity is boring, the butt is dirty or they have to burp, then put them down. This may happen after as short as 45 minutes, don't freak, it really means they are tired.
Now, to get them to sleep use the 5 s's. Swaddle the baby, hold the baby on their side and sway as they suck on something (paci, your knuckle or their finger/thumb) and make a shush noise. This will calm your baby. When the baby is calm, but not asleep yet, keeping them swaddled lay them in the bed. I like to pat them instead of sway after a minute or two cause you can still pat after they are put down but you can't sway, so pat the baby and continue patting gradually decreasing it as you put them in the bed. Also continue the shushing as you put them down, again gradually getting quieter.
If you do these two you will find a well rested, easily managed baby in no time.

That is normal at that age. Mine was the same way, she'd only take short naps and almost never would nap in her crib (even though she'd sleep there at night fine). I stressed about it because she liked to be held and would cry as soon as I put her in her crib (which made it impossible to get anything done). Just be patient. All babies are different, some will be champion nappers and others will be cat nappers. The good news is mine outgrew her cat napping and now naps twice a day for 1-2 hours. Keep trying with the crib, but don't worry if she resists. Just keep doing what works so your little one (and you) can get some sleep.