I would suggest the Chambers Late Ketland. TOTW calls the same lock, The Classic Ketland as L&R has a later waterproof pan version.
From the museum Bogle Rifle,
Lock, English marked Ketland and Company 4 3/4 " x 1" secured by two bolts
Besides the Chambers Ketland is the best off the shelf 1790-1815 era English lock available today and the original has a Ketland marked lock.
IMHO there is no other lock for a Bogle based rifle than the Chambers Late Ketland.
Looked into to this a little further.
I see you already have a Bailes. The Bailes is slightly smaller than the original and the pan shape is identical. The lock plate has more of a banana shape than the original.o
The Chambers is slightly larger than the original and the profile of the lock plate is a closer match.
Stylistically both locks are a draw. For Quality I would go Chambers but if you know the Bailes is indeed tuned well, it's kind of a tie breaker since you have it. Now if it's not tuned and does not spark, go Chambers.