Thanks for posting! The hardware you have pictured appears to be an Interlock Roller Keeper. Take a look at our 39-401 and compare the dimensions to determine if this is the right fit. The right hand side is part 39-402. I am confident this is the replacement you are searching for.
It is likely that we do not have an exact match for the part you are searching for. We do typically see these types of multi-point locks used with the type of keeper you have.
The only parts that meet your specifications for the 3-7/8" hole centers are our parts 38-138 and 38-139. However, you'll need to make sure to compare the measurements for each to determine which is the best fit.
(Dimensions for part 38-138)
(Dimensions for 38-139)
Take a look and see what you think.