Tufted Titmouse (not Tufted Titmice)

I just read an article in yesterday's New Hampshire Sunday News about birds that dare to stay in New Hampshire for the winter, like most of us tough Yankees, rather than go to Florida . The article mentions several different birds including the "tufted titmouse". It then mentions "titmice". Is there really a bird called titmice, as in "tufted titmice"? If we try to turn the "mouse" portion of titmouse into mice to make it plural, aren't we then changing the type of bird?