Window pics/Truth Keeper
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.
Here are the measurements from the lock length is 4 5/8
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.