A "bump" is much gentler than a "hit". If someone falls to the ground, it would generally be described as a "hit" not a bump".
For example, "she hit the ground when she fell from the step" or "he fell and hit the ground when he stumbled".
It is very normal for people to use the expression, "hit the BACK of her head". if they want to be specific.
If the details are different, people say things like, "she fell and hit her nose' or "she fell and broke her teeth".
Hope this helps