One needs to be careful - Chemists and Druggists were not Apothecaries. The Worshipful Company of Apothecaries does not have an Archivist, enquiries have to be made in writing addressed to the Clerk, although an email to "Archives" can be used. In general they only cover the City of London, the Guildhall Library has records pertaining to the City only. Apothecaries had been organisedf since the Rose Act in 1703 - Chemists and Druggists only became organised and registered after the Pharmaceutical Act of 1841. Although it is now an independent charity the Apothecaries own the Chelsea Physic Garden and have the records. For the original query the RPS would probably be the quickest route to information.