Dressers of this type are in what's called the "Federal Revival" style. Federal Revival pieces are reproductions of the original American Federal items originally produced from1780-1820. The Federal Revival style became popular after the first Centennial of the American Revolution in 1876. At that time interest and demand for original Colonial & Federal furnishings was so great it outstripped supply. This caused large manufacturers to begin production of pieces in the Colonial and Federal styles from the Jacobean to Duncan Phyfe.
Examples like this one are fairly modern, dating from the second through the third quarter of the 20th Century. Most furniture makers had a line of this style, so without a label it's impossible to determine a maker. In the current market a comparable dresser would sell at auction in the $250.00- $350.00 range