One of my best, and hated friends, is Dale and Applebe's Phamacy Law and Ethics. I don't have it woth me atm, but it gives you all the details you need direct from the legislation. Not easy reading, but keep at it.
An interesting question so I did a quick web search and found this old reply:
"The term 'chemist' is a more general term which is used to describe anyone who has a background or training in chemistry. The term 'pharmacist' is legally restricted to those who are registered with the Royal Pharmaceutical Society of Great Britain.
The currently accepted way to address a chemist is as a pharmacist and a chemist's shop as a pharmacy.
Every pharmacist has to undertake a degree in Pharmacy (takes 5 years) then has to register as a 'Pharmaceutical Chemist' with the Royal Pharmaceutical Society of Great Britain (RPSGB).
Only those who are registered with this Society are allowed to call themselves pharmacists (or dispensing chemists)."
There is a gramatical difference in that a "Chemist" is a person not a business. It is therefor OK to say Jo Bloggs Chemist assuming that Jo Bloggs is a chemist and works there or Jo Bloggs' Pharmacy. So what about Boots the Chemist? Well originally there was a Mr. Boots the Chemist but I don't know when the name changed to Boots only or if there was a legal reason for doing so.
Now I'm beginning to waffle so you'd probably be better off waiting for SparkyBW to get back to you!