The register
The register lists The Waldegrave Trust in Twickenham 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 The Waldegrave Trust, number 08130508, incorporated 2012: 14 years of filings behind the name. The registered office is at Waldegrave School, Fifth Cross Road, Twickenham, TW2 5LH, TW2 5LH. Its filed activity puts it in education. It has traded under other names before, including Waldegrave School for Girls.
For a candidate this means one less obstacle: The Waldegrave Trust already has the licence most employers would have to apply for. The rest is the ordinary job of getting the interview.