The Williamson County and Cities Health District said a woman in her early 30s died at the end of October.
The county releases its flu reports weekly. Since September, nine people were hospitalized with the flu virus in that county.
Swine flu vaccines are slowly arriving in Texas, and so far, 3 million doses have been allocated to the state.
The shipments have been trickling in, and doctors aren't sure when they'll get their supplies.
For more information, visit WCCHD.org