"the 2nd George Henry Baylis"
I think this would only make sense if there have only ever been 2 people named George Henry Baylis. The brothers of the oldest one may also have had children with the same name, and the further back you go the more likely it is.
You may subsequently find that the person you have listed as George Henry Baylis number 1, was named after his grandfather, or great uncle, and was actually George Henry Baylis number 5!
In my family my Dad was known as Big 'Richard', an uncle was known as Middle 'Richard', and I was known as Little 'Richard because we all had the same first and last names. These names were useful when we were all alive, but useless for family tree purposes. In my family tree there are several other Richards, all with the same surname.