The register
The register lists S A Construction & Building Ltd in Birmingham 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).
At Companies House the business is S A Construction & Building Ltd (company number 14283530), a private limited company incorporated in 2022, 4 years ago. The registered office is at 48 Backlands End Lane, Bucklands End Lane, Birmingham, B34 6BP, B34 6BP. By its SIC codes the business is in construction.
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.