The register
The register lists Bilton Pharmacy in Bilton, Rugby as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
Bilton Pharmacy Ltd is the registered name (Companies House number 08002578), a private limited company on the register since 2012. Registered office: 7b Fairfax House Cottingley Business Park, Bingley, Bradford, BD16 1PE, BD16 1PE. Its filed activity puts it in professional and technical services.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.