Creating some copy and want to make sure singular possessive name is correct...
If I have a name of an animal, Jaws, would correct grammar be, Jaws' Laws?
In your example, I would consider Jaws as a name, not as a plural noun jaws, which would indeed take just an apostrophe.
When I was at school (in England over 50 years ago), we were taught that a name ending with s takes 's for the possessive, giving Jaws's laws.
The rules or acceptable usage may have relaxed since then - one large example on the side of a building in London reads St Thomas' Hospital.