You have a Winchester 1902 rifle made c.1905-1910. It should have an 18" barrel with 19/32" muzzle diameter.
This was a continuation of the Model 1900 rifle with some minor improvements. Another good old John Browning design.
The Model 1902 and the full-size Model 1904 remained in production through 1931 when superceded by the various Model 58, 60, etc rifles. Over 666,000 Model 1902 rifles were produced. None were serialized.
Really crisp guns are being offered in the $300-$400 range, but they devaluate rapidly as condition worsens. This is one currently on auction at *********.com:
The autonomic nervous system provides for involuntary muscle function - the work of breathing, digestion, and so forth. On some folks, that's a pure waste of ingenuity.