Final answer:
Dr. William Claiborne Carson was the first president of Louisiana Tech University and the building named after him in the Quad is the Carson-Taylor Hall.
Step-by-step explanation:
The first president of Louisiana Tech was Dr. William Claiborne Carson. He served as the president of the university from 1894 to 1926. The building in the Quad with his name is the Carson-Taylor Hall, which was named in his honor. During his tenure, President Carson played a crucial role in the development and expansion of Louisiana Tech University.