Auberge Le Saint-Gabriel (Auberge Saint-Gabriel) is the oldest inn in North America. It is located in Old Montreal, Canada, and was established in 1754. It also was the first establishment to have an alcohol license issued, in 1754. It is allegedly haunted by the ghost of a 19th Century girl who died in a fire.
References
Auberge Le Saint-Gabriel Wikipedia(Text) CC BY-SA