Prime Minister killed in the House (7, 8)
Useful Cockney with fighting pit going east (4, 6)
Explorer breathing rock maybe? (5, 11)
Sounds like a fuel carrier (4,6)
Bakers daughter on the roof (8, 8) (is this M. Thatcher)?
The Bakers daughter one seems like it should be Margaret Thatcher, but i've only ever known her as a Grocer's daughter...looked it up, and everywhere says father was a Grocer...i'd be surprised if it wasn't her though