Was burrin tunbulle the very first african american woman to become a veterinarian animal doctor?

No, the first African-American female veterinarian in the United States was Dr. Alfreda J Webb. She graduated from Tuskegee University in the class of 1945.

The only citation I can find on the internet for "Burrin Turnbulle", "Burrin Tunbulle" and "Burrin Turnbelle" is on the Answers website, so I suspect this name is misinformation that was propagated across the website but is not true. Dr. Webb's biography and information can be correlated on other websites, including the American Veterinary Medical Association's and Tuskegee University's.