I looked in an old out of print book of razors I have (2007) and couldn't find it.

So I took another track and googled RED DEER CUTLERY since a lot of razors were made by cutlery companies. It said Red Deer-Frost Cutlery (Frost Cutlery - The World's Fastest-Growing Cutlery Company). This company began with the original owner collecting knives as a hobby in the 1960s and it evolved into a successful business.

At the Frost Cutlery site, the second item pictured was a Red Deer straight razor (regularly $29.95 now $16.95). I read the About Us section and it is definitely an American company that sells cutlery from around the world.

In addition to Red Deer, this company re-introduced the Hen and Rooster razor, which is here: Frost Cutlery - The World's Fastest-Growing Cutlery Company

I don't know anything about knives and am unfamiliar with these razors. If I identified your razor and it cost only $16.95 I'm leery about it. I'd get someone here who offers honing and restoration services to look at it, and assess it, and make it shave ready if it is of sufficient quality.

I'm always encouraging people to get away from the typical department store fare because of all the misery I experienced with electrics and multiblade razors. So I hope you will take up straight razor shaving.