The register
The register lists Me and Em Ltd in Wood Lane, 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).
Companies House lists it as ME and EM Limited, number 05686460, incorporated 2006: 20 years of filings behind the name. Registered office: Third Floor Westworks White City Place, Wood Lane, London, W12 7FQ, W12 7FQ. By its SIC codes the business is in retail. It has traded under other names before, including Pyjama Room Ltd.
For a candidate this means one less obstacle: Me and Em Ltd already has the licence most employers would have to apply for. The rest is the ordinary job of getting the interview.