Just got back from the job...
The problem turned out to be a broken neutral connection in the FCU by the side of the storage heater, it was well hidden though as the conductor went fully into the terminal but wasn't making any contact!
The lady did have a problem with another one of the the storage heaters too. It was occasionally tripping the MCB overnight.
It is a 2.55kW heater on a 10A breaker fed with a 1.5mm cable. It has a 13A FCU. In theory it should only be pulling around 11A so shouldn't ever trip the MCB. However this may be the problem and I wanted to hear peoples views on putting a 1.5mm conductor in a 16A MCB? I 'think' this is against the regs, but the 1.5mm cable is ref method C so the CCC is 16A, in addition it has a 13A FCU AND also reg 433.3.1 (ii) negates the need for overcurrent protection if the conductor is unlikely to carry over current due to the characteristics of the load (i.e 2.55kW = 11A).
Plus.. just checking appendix 15 and Fig15B actually shows a 20A MCB, so perhaps it isn't breaking the regs. I've just always put 2.5mm in a 16A MCB!