These sticks are called mixing sticks or muddlers. They were used during the 19th century to mix drinks of the time such as "Flip" or for mixing medicines. They were made in various sizes and shapes and were used from the early 1800's to the late 1800's.
The shorter muddler measures approximately 8" long and the other is 10" long.
They are in very good condition. Two are relatively plain and one has a carved top. They are priced at $25.00 each.