Cane chairs have been popular at varying times. Check underneath the chair for manufacturer information. You can also do internet image searches. If all else fails you might need the help of a professional.
Identifying Antique Furniture
Identifying an Antique Desk?
Identifying Antique Dining Chairs?
Identifying an Antique Table
Finding the Value of Conant Ball Furniture?
Identifying a Cane Chair?
Antique Brass Bed Information?