Biedermeier was a style originating with the middle class and emanating from the German empire. However, as the style grew in popularity Biedermeier pieces could be found all over Europe , especially in Sweden. I know for a fact that the Biedermeier style was made extensively in Missouri, as there are literally tons of examples made by German immigrants in the first half of the nineteenth century.
All of this is to say that your piece could have easily been made in New York, probably by a German cabinet maker, but not necessarily even that. Biedermeier had wide popularity in the first half of the 19th century, so any master cabinet maker, regardless of nationality, could have been working in the style.
I still think that this piece is faced in maple veneer, actually curly Maple burl. Ash is another possibility. Ebonized pieces were usually - but not always - made of cherry. Another commonly used wood, particularly in Europe, was pear. Fruitwoods were common as they could be obtained locally. More exotic woods, such as mahogany, required a duty every time they passed through a political jurisdiction, making them prohibitively expensive.