The register
The register lists Q Stone Co U.k Ltd in Birmingham as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. The register records its rating as Worker (A rating).
Q Stone Co U.K Ltd is the registered name (Companies House number 12340738), a private limited company on the register since 2019. The registered office is at 109b New Road, Rednal, Birmingham, B45 9JR, B45 9JR. By its SIC codes the business is in manufacturing.
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.