It's difficult to find out whether a hotel has Internet access without actually staying there. They rarely knows what you mean. Web pages often claim they have "in-room Internet" when all they have is a phone jack. So this is a list of hotels with information about available Internet access. Please send me corrections and additions.

Mercer Hotel: Dial-up, wireless coming soon. (2002-08-27, front desk)
Charles Hotel: STSN T1. (2002-01-01, preferred hotels, Aaron Swartz)

Often hotel internet access is referred to as "high-speed Internet" or "broadband Internet". Asking whether the hotel has a "T1" is not effective since many hotels have a voice, not data T1 line.