It's an Ever-Ready Streamline and a very nice example at that. Quite often the strop is missing from these sets. I think the original blades that were used with these razors were the thicker wedge type blades rather than the SE blades that are more familiar with today and also not as "disposable". Also, the blades back then were typically carbon steel rather than stainless steel and as such stropping was probably more effective at maintaining the edge on those blades.
By the way if you don't fancy using it, I expect it would fetch a decent sum on ebay in that sort of condition.