Hi Mr Nutt,
Thank you for your feedback, it's much appreciated.
You're correct, there isn't a serial number or DOM on replacement cylinders, these are only etched into complete engines during production as they form part of the Model, Type and Code/DOM numbers used to identify the engine spec.
If your engine details were originally stamped into the cylinder that you're replacing, then please keep a note of these before discarding the old part, you'll need them to source parts for the engine in future.
If you have any images of where the cylinder hasn't been deburred, please forward them to me, I'll feed this back to Briggs.
Yours sincerely,
Colin