What you have is a frame built by Monark not Cleveland Welding (they produced five-bar frames but they are quite different). Monark is the same company that produced the Silver King Aluminum frames.
The model you have was generally referred to as the Superframe and is also known as a five-bar. Monark sold bikes to several second tier distributors, Montgomery Ward was one of these and apparently some were sold to whoever marketed bicycles as Tru-Test. I have also seen Colson bicycles marketed under that brand badge.
I question that the bike may have been assemble from parts of a Snyder built Hawthorne as that is likely where the chain ring, fenders, and front fork came from. None of those parts are of the type supplied by Monark.
As you say, it has great patina as it sits. All the replacement parts are from the general period of the frame so it may have had a early Monark springer fork that broke and was replaced in the day.
Check out this post for a similar frame that just changed hands.
viewtopic.php?f=2&t=12777
It is a similar frame that Monark sold through Montgomery Ward but will not take a tank. Your bike will accept a tank and is essentially the same frame as depicted restored. I should also note that your bike has the unique Monark breakaway stem originally available on these bikes.
Altogether a good find at a great price, especially considering that these bikes are prone to frame failure and often are found broken or bent.
Phil