Final answer:
The building in question that once housed livestock and was rebuilt after a fire is known as Old Main, a historical site on Pennsylvania State University's campus.
Step-by-step explanation:
The building that previously held livestock in the basement and was rebuilt after a fire is Old Main. This is a significant historical building on the campus of Pennsylvania State University. Old Main is a historic building located on the Pennsylvania State University campus in State College, Pennsylvania, USA. It was originally constructed in 1863 and served as the first permanent home of the university.
The original building, known as 'The Farmers' High School of Pennsylvania,' housed livestock in the basement during its early years. After being gutted by fire in 1892, the building was expanded and renamed Old Main. It has been used for various purposes, including administrative offices and has stood as a symbol of the university's history and evolution.