Step 1: Understanding the Concept:
This question asks about the primary language spoken by the Anglo-Indian community.
Step 2: Detailed Explanation:
The term "Anglo-Indian" refers to people of mixed British and Indian ancestry. Due to their heritage, the English language has historically been and continues to be the primary language and mother tongue for the vast majority of the community. It is a defining characteristic of their cultural identity. The Constitution of India recognizes English as the language of the Anglo-Indian community.
Step 3: Final Answer:
The mother-tongue of the Anglo-Indian community in India is English. Therefore, option (C) is correct.