@kathystl - I too have ET and it affects my left hand. Being left handed and also very ambidextrous as a carpenter that came in very helpful.
I was diagnosed just over 28 years ago and just recently have retired. I always wondered if this was a result from heavy use of my hands. I have never taking any medication for it, but would be very interested in your feedback of taking Propranolol? What is the dosage you take and have you had good results? How about any bad side effects? The worst thing I encounter is trying to write. If I'm stressed or been physically active I really can hardly write. In the morning I have the best luck. I have no issues using a keyboard. I too are of European descent and I have looked into any familial connections and have found none with this disorder. I look forward hearing back from you regarding your experiences with Propranolol.
I have only had ET for 7 years, with Propranolol for the last 3 years. I take 20 mg in the morning, but the Dr. originally prescribed twice daily. I was having dizzy spells because I have low blood pressure even without meds. I am of small stature and weight so some meds affect me more. So I cut it back to once daily. I have noticed the tremor getting worse lately but hesitate to go back to twice daily because of the dizziness that seems to follow. If you have normal or high blood pressure Propranolol could work well for you. I do think there is an ethnic and occupational issue involved.