Hi, Yes your bunny generally should be eating her cecotropes, and if you are seeing a lot around, it could be an indication that something needs to be adjusted in her diet. What kind of foods and what quantity does she get right now? It sounds like her regular poops are somewhat firm and dry if you can pick them up, so that is a good sign.
Here is the link to the House Rabbit Society guidelines for food for young bunnies, I would recommend reading this and see how what you are feeding lines up with these standards: http://www.rabbit.org/faq/sections/diet.html#babies
It has been awhile since I have had any baby bunnies in my house, but I think I recall them having some cecotropes left around – my older bunnies now don’t leave any anywhere as long as they are feeling OK. The fact that it is a LOT of them though makes me think that there might be something off on her diet, so check out the above information.