The register
The register lists Lyndhurst Rest Home in Whitstable as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
Companies House lists it as Lyndhurst Rest Home Limited, number 06609777, incorporated 2008: 18 years of filings behind the name. The registered office is at 149 Woodcote Valley Road, Purley, Surrey, CR8 3BN, CR8 3BN. By its SIC codes the business is in social care and care homes.
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.