Numrich Arms (Gun Parts Inc.) has a house brands to manufacturer tables and lists Sears Model 53A (Sears control number 273.532780) as made by Winchester and equvalent to Winchester Model 70A.
Meandering off topic: Those were the days when Sears, Montgomery Wards, J.C. Penneys, Western Auto had sporting goods departments with house brand guns (Ted Williams, Western Field, Revelation, etc) made for them by Marlin, Winchester, Colt, even Fabrique Nationale of Liege Belgium.
Then the 1968 Gun Control Act removed guns from the mainstream store sporting goods department to the stand-alone gun shop, and later the gun show. Instead of going to Sears for my gun supplies, over the years I and others were migrated to going to stores like Gunrunners ("The Cop Shop") the local police equipment supplier, and introduced to the world of MGs AOWs ETCs.
For you youngsters, compare the original "Dawn of the Dead" zombie movie to the recent remake: in the original, the gun store was IN the mall. In the remake, the gun store was ghettoized across the street from the mall. Us oldsters have seen that change in our lifetime.