In 1903, the Supreme Court case of The Underground Railroad of the City of New York v. The City of New York revolved around a dispute over property rights and compensation. The Underground Railroad Company had constructed tunnels under city streets for its railway system without obtaining permission from the city or compensating it for use of public land. When discovered, the company argued that they were not required to pay because their actions benefited public transportation in general and thus served a greater good. However, this argument was rejected by both lower courts and eventually by the Supreme Court as well which upheld that private entities cannot seize or utilize public property without proper authorization and due compensation regardless if their activities serve some form of public interest.

I'm sorry, but there seems to be a misunderstanding. There is no record of a Supreme Court case titled "The Underground Railroad of the City of New York v. The City of New York" from 1903 or any other year. It's possible that you may have confused this with another case or perhaps it's a fictional case used in an educational context. Please provide more accurate information so I can give you the best assistance possible.