Giving her the EBM is not always a great idea because it can keep your breasts from knowing that they need to produce more milk. Having your breasts empty is how the glands know they have to produce more, but I can completely understand why you would want some peace!
Don't worry, this too shall pass. Your breasts will figure out how much milk to make - this is a temporary situation. Even when your breasts are soft there is milk because your breasts are always producing milk so she is getting *something*. It's also a great comfort for her to suck, and it probably makes her feel better while she's going through the growth spurt.
I totally know how you feel. Vivian would never take a paci so she was attached to me constantly, especially when there was a growth spurt going on.
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Kara (formerly wannaBmomma)
Co-Host of the Breastfeeding Forum
If one advances confidently in the direction of his dreams and endeavors to live the life which he has imagined, you will meet with a success unexpected in common hours.
--Henry David Thoreau

Vivian Zoe, Oct. 30, 2005
Irene Audrey, Nov. 13 2007