I can't figure out what it is...but I'd snag it in a heartbeat. Is it on 16" wheels?
Chainring is Wald. I know I've seen that chainguard graphic before...I thought it was Wildcat...but the bike doesn't look like any Wildcat I can find. The frame has a definite Murray look, but I think it may be Snyder/Rollfast.
Dropouts look like Evans. My first bike was a 24" Evans and had the same chainwheel. Evans was only in business until 62, maybe the bike was converted to a banana seat bike after that.
After a whole lot of image surfing that took me to Wikipedia, then Reddit, then RRB (in 2010) I learned that the little bike is an MTD Duke. They made a 3-speed version - the King, and a step-thru - the Duchess.
MTD - Modern Tool & Die is an American company that has made lots of cool stuff over the year including Columbia Bikes, Cub Cadet mowers, and some really sweet MTD minibikes.
I am going over to look at the MTD bike and to buy a 24" Hawthorne middleweight tomorrow. I'm not really interested in the MTD. If you are, please let me know and I will snag it.