The register
The register lists Cornerstone Healthcare Services Limited in Leeds, West Yorkshire as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Its rating on the register is Worker (A rating).
Companies House lists it as Cornerstone Healthcare Services Limited, number 12622153, incorporated 2020: 6 years of filings behind the name. Registered office: Office 3411, Twenty4 Secure Storage Chelsea Close, Leeds, West Yorkshire, LS12 4HP, LS12 4HP. 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.