The register
The register lists The Single Homeless Project in London, London 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 Single Homeless Project(the), number 01741926, incorporated 1983: 43 years of filings behind the name. The registered office is at 245 Gray's Inn Road, London, WC1X 8QY, WC1X 8QY. Its filed activity puts it in hospitality.
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.