The name of the smallest bone is the stapes, also known as the stirrup. It is found in the middle ear where it transmits sound vibrations from the Incas (anvil), which is the second smallest bone in the human body, to the inner ear.It is only about 2.5-3.5 mm (a 10th of an inch) big.he name of the smallest bone is the stapes, also known as the stirrup. It is found in the middle ear where it transmits sound vibrations from the Incas (anvil), which is the second smallest bone in the human body, to the inner ear. It is only about 2.5-3.5 mm (a 10th of an inch) big.