Hey Miss Judy! No this is a different Delmonico's. Here's the historical info from their website:
Delmonico’s, opened in 1837 as America’s first fine dining restaurant, continues to serve the connoisseur of fine American food in its premier location at Fifty-Six Beaver Street, in the heart of Manhattan’s Financial District. Birthplace of the Delmonico Steak, Delmonico Potatoes, Eggs Benedict, Lobster Newburg and Baked Alaska, the original Delmonico’s offered unheard of luxury—the availability of private dining rooms, an extensive wine cellar, innovative cuisine and, above all, warm, personal service.