Very cool, could use a bit of TLC. Someone in the past has rewrapped portions of it, different colors, doesn’t look factory. Without a decal and writing on the rod it becomes extremely difficult to ID and date. My best guess is it looks like a T.H. Chubb fly rod by the style of the locking seat. Chubb was both a component maker and a rod company, and many rods of early 1900 were built with Chubb reel seats. The West Woods stamp could signify it was built for specific sporting goods or store. A brass reel seat generally could be early 1900’s.
Would look great rewrapped in period colors and stripped/varnished properly.