Your mother is right thinking that bursitis is usually a degenerative condition of age -- it usually is. However, other factors can cause bursitis in a young person, including a serious bacterial infection, so you need to see your doctor.
Your doctor will make a physical exam and check your hip for the cardinal signs of bursitis: limited range of motion due to pain, heat and tenderness over the joint with inflammation and swelling at the joint. He / she will attempt to aspirate of fluid from the joint. This will give you some relief from pain if you do indeed have bursitis.
An x-ray may show the cause of a mechanically induced bursitis.
So, please see your doctor.
In the mean time, ice the joint and use NSAIDs for pain and to reduce inflammation as directed. Always take NSAIDs with food to protect the stomach linings. Typical NSAIDs are ibuprofen, naproxen, and aspirin. Tylenol/acetaminophen is not an NSAID.