Neighbors; I discovered some new (at least to me) details in the Stage 2 Water Restrictions published at this site
http://www.austintexas.gov/department/stage-2-watering-restrictions
Key points:
1. Trees can be watered at any time inside the drip line with a soaker hose. Water can't be allowed to run off of course.
2. Drip irrigation is OK at any time
3. Watering by hand with a hose or container is OK at any time.
4. Irrigation system use is OK from midnight to 5 am and from 7 pm to midnight on your one watering day per week -- Wed. for odd numbered addresses and Thurs. for even numbered addresses.