Final answer:
The question asks about the first residence building built specifically for women, referencing a choice of buildings. Historical context indicates that prominent women's colleges such as Mount Holyoke and Vassar were established between 1865 and 1880, but the specific buildings listed in the question are not part of this historical information, and therefore the answer cannot be accurately determined from the provided context.
Step-by-step explanation:
The question you have asked refers to a period of history when women began to have more opportunities for higher education and schools specifically for women were established. Between 1865 and 1880, prominent women's colleges such as Mount Holyoke, Vassar, Smith, and Wellesley Colleges were founded, providing women with the chance to pursue a higher education in an all-women environment. However, the question seems to reference a specific residence building for women which is not mentioned in the historical context provided.
Typically, when more women began attending college, dormitories were created specifically for them to address the lack of boarding opportunities, and dorm mothers were employed to oversee these students and enforce rules and curfews. Unfortunately, without additional context or knowledge about the specific buildings you've mentioned, it is not possible to determine which was the first residence building built specifically for women at an unidentified university or college. Chestnut Residence, University College Residence, New College Residence, and Whitney Hall could all be residence halls at various institutions, and the historical context here does not provide information on these specific buildings.