Hi,
That style of bag was popular from the late Victorian era to the early 1920's. My guess is yours is Edwardian, 1900-1910. It could be mid 'Teens era also. Some of these were made from sheepskin as it is softer than cowhide. In my old catalogs they do not always identify the type of leather, but it looks to have been pressed to imitate elephant hide or other animal hide. Of course, it could be the real thing, not pressed. I like it!