Here are two pictures of this berry.
What is the name of it?
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From what I can see in the photos, it looks like you have a thimbleberry. Thimbleberries are similar in appearance to raspberries, but are typically even more delicate and prone to falling apart. Their leaves are similar in shape to a maple leaf, and can have sawtooth or smooth edges.
Your original question asked about edibility, and they are indeed edible. The ones I have had growing here in Wisconsin are absolutely delicious, but I've heard that the flavor varies a lot and in some places they are dry and tasteless. It is my understanding that there are no poisonous lookalikes for raspberries/thimbleberries, but please make sure you have a positive identification before eating them.