I fell on my right elbow & was told I have bursitis but it's the inside of my arm not the tip. Still swollen even after 3 days of ice/motrin. Normal?

Elbow Pain. You don't mention an x-ray. If you haven't had one, speak with your doctor about this.
No. I would request a follow up MRI exam of the elbow. The elbow is tricky and the MRI will show if there is a tiny fragment type of fracture, bone bruise, injury to ligament or tendons, etc.