The register
The register lists Paddington Construction Ltd in London 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).
Paddington Construction Limited is the registered name (Companies House number 01069492), a private limited company on the register since 1972. The registered office is at 6 Wharf Studios, 28 Wharf Road, London, N1 7GR, N1 7GR. Its filed activity puts it in construction. It has traded under other names before, including Paddington Carpentry Company Limited.
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.