Can any one help with the style of badge worn by the above officers on bowler style hats; currently and previously

Old style badge is the all metal ring with crown. New style is the blue enamel style. Both say special constabulary, and have screw fittings to the rear as used by metropolitan police on bowler hats.

Hi Zak, many thanks for this information, Regards Sean

This is a picture and identification from a trusted source of a female Metropolitan Police Special Constable bowler hat badge: