Sounds normal to me. Why are you trying to put her off? A 2 month old needs to nurse when she needs to nurse. Can you read to your 2 year old? Put the 2 month old in a sling so you can nurse while doing other things? That's what I did when my 2nd was little and needed to nurse all the time and I had an older child who needed me.
And if your nipples get sore from it, maybe you should see a LLL leader or a lactation consultant. At 2 months, you should not be getting sore nipples.
And if your nipples get sore from it, maybe you should see a LLL leader or a lactation consultant. At 2 months, you should not be getting sore nipples.