Hi Althea,
I'm very sorry to hear about your predicament with Angela, and I only have one recommendation to make.
We as adults, caregivers and parents have to take some responsibility to make sure that our children play and grow upon a safe environment without the threat of being hurt. Unfortunately, it doesn't help that kids sometimes don't understand the danger of doing certain things, no matter how thoroughly it is explained to them. It is important to be aware of the developmental stages of children in order to prevent accidents. Children in certain age groups have numerous limitations and are therefore at risk of injury, mainly because they are still learning, and may not always do things correctly.
My advice is to keep be adamant about keeping your daughter away from such danger, by perhaps placing your lamp someplace else, securing the wiring for your lamp so it is not something your child can reach and or investing in socket protectors for exposed electrical sockets around the house.