Hulme Manchester:
A long time coming but this is the Hulme Manchester OTC one (same design as Cadet corps with different title). As yet this is the only badge seen in photos of the school cadets and the sole lion head remains unidentified.
Hulme Oldham:
Whilst the Oldham School did wear a single lion headed cloth cap badge on their school civilian caps as can be seen in this photo.
https://www.ohgs.co.uk/ArchiveWebPag...os/photo3.html the school cap was an embroidered version. They did not have a Cadet Corps but in 1942 the school did open an ACF unit. They also had an ATC
https://www.ohgs.co.uk/ArchiveWebPag...rnseyboys.html
From the Oldham school history " An Army Cadet Force was started at school in 1943 for boys aged 14 to 16. Many of the younger Guernsey boys joined along with the Hulme Boys. " However by 1942 all ACF units were wearing regtl cap badges and not their own design so it's not Oldham
The Oldham Hulne school Lion had a torse underneath it