Yes, thank you for sharing these. There seem to be a very large number of 'Hyderabad' badges out there these days and I'm wondering whether perhaps some of them are being invented by canny merchants. The State's forces fought a 5 day conflict with the Indian Army in the 1950s [I think] and their army was disbanded/absorbed into the modern IA. A number of Hyderabad badges can be seen here:
http://www.arcticmedals.com/page/page/3730573.htm