It is absolutely crucial you figure out the wood species. Many woods called 'cedar' are softwoods that are NOT bowwoods at all. Actually, the only good one is Eastern Red Cedar. If you are indeed working with Western red cedar, the message is simple: it is not a bowwood and will only disappoint you. Especially with a highly stressed short bow, and you even considering recurving it, you are very likely to be greatly disappointed again. Save yourself all the trouble and get a proper bowwood. Western red cedar, being very soft and weak, is not one of them.
Can you post a clear picture (camera set on "macro"-mode, pic taken outside in bright daylight) for proper wood ID?