Dexter Spring Latch for Entry / Entrance lock sets - Discontinued 

Backset: 2-3/8 inch
Faceplate Shape: Square
Faceplate Size: 1 x 2-1/4
Spindle: 1/4 inch Square
Latch Bore in door: 7/8 inch bore
Color / Finish: brass plated
Sold: Each

NOTE: Some entrance handles had a latch with a slot in one side and square hole in other
Please compare yours with pictures.