Doesn't sound like a sleep issue honey, sounds like your DD is perfectly normal

The lovely ladies above have given great advice, I just wanted to add that it was about 6-7 weeks I think that my DS seemed to work out night and day, we helped him along by feeding in low light and quiet at night, and gave lots of cuddles and rocking after a feed to encourage him back to sleep. During the day we had DS in a basinett wherever I was, and I just went about my day - lots of sunlight, vacumming etc.

Re the dummy - have you tried a different shape? There are so many out there, but you might find that your DD prefers a different shape or size and will keep it in more

Personally I dont think too much sleep during the day is too bad, especially at this age. Remember she's recently entered the world, gone through the birth process and is doing so much growing and adjusting to the outside world - I'd be tired too I tend to think if they are sleeping it's cos they need it, and definately yes, sleep promotes sleep, as my DS got older I realised that if he had good day sleeps and wasn't over tired, he slept much sounder at night.

Hang in there, I hope she starts to settle and sleep for you longer overnight, it must be hard with a toddler to look after, its not like you can sneak off for a sleep when DD sleeps