What are some natural ways to lessen anxiety symptoms?

Anxiety. Exercise, yoga, relaxation training, psychotherapy. Avoiding caffeine, alcohol and drugs. Any herbal suppliments if effective are not much difference than taking medications.
EXERCISE. Go gaga on yoga, exercise, meditate immerse yourself in helping others, volunteer to social, charitable organizations. Start doing it today, you'll be fine.
See below. Talk to your physician to see if there is a physical basis for anxiety, work on finding out what makes you anxious. Try to establish daily routine to bring some predictability in your day; practice deep breathing, relaxation/ guided imagery (you can find scripts on the web); you can work with a therapist to help you guide through the process. Consider medication, if symptoms become overwhelming.