I attended summer camp for *many* years, my camp was ~1,000 miles away from my home!
It was a 4 week endeavor and there were no phone calls home. Yes, exception were made (A child was ill and needed to go into town to see the doctor, family emergencies)... but rarely did kids get to call home. When a call was made home it was the camp director calling, and the child would be brought in to talk. It was not the child herself making the call.
As a counselor I had 7-8 yr old girls in my hut. I remember one mother came up to me on opening day and secretly handed me 3 letters. She would start sending her daughter mail as soon as she got home, but gave me a few letters to distribute those first few days until the real letters started arriving. That way her daughter had a letter from home every day. The kids *love* getting mail! I thought this was a great idea for first time camper.
I had another child whose mother had made her a special pillowcase for camp, many came with home made photo albums to keep tucked near their bunks.
My little girls were all a bit frightened and homesick the first night. No one knew what to expect! The second night I had 2 campers still homesick. By day 3 they were all giggling and worries were gone. I actually had to force them to write letters home on Sunday!
I felt the same at that age!! It wasn't that i didn't miss home. It is just i was confident that home and my parents would always be there. Home would not change for me. My parents had given my enough confidence to venture away from them!
Camp was a very short gift every summer and the friends I met there i may not ever see again. Sure, many of came back year after year... but sadly some couldn't. I wanted to treasure the moments that i knew would be so short lived. Home would always be there.... my camp friends would not.
BTW... 10 years after my last summer I still keep in touch with camp friends. Camp remains the most profoundly positive experience of my life and I wish both you and your daughter all the best! Be positive, and allow her to have agood time without having to worry if mom is falling apart. Only as a grown woman did i begin to understand how hard it was for my Mom and Dad to let me go every summer. I thank them for doing so.