Good looking bike! It looks very similar to my wife's 53 J.C Higgins. It's a Murray made frame. Look on the bottom of the crank housing for the serial numbers. If it has MO? stamped in it,then you have a Murray Ohio frame. The third letter tells the year. R is 52, S is 53 and so on. It should also have an MOS stamped on there somewhere which is the Sears designation.
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@The_Black_Monark nailed this ID above; that's a postwar Westfield (Columbia) frame, right there.... and a killer-looking bike. Most of the Sears Elgins were either Westfield- or Murray-built; the Sears JC Higgens bikes were the same, plus other builders...