As I said earlier, it's a very grey area when it comes to recording private phone calls.
but that aside, the company has to take reasonable steps to ensure that both parties are aware of the fact they are being recorded, however, what is classed as "reasonable steps" is not clearly defined anywhere, OFCOM themselves do not announce on their own phone lines that calls may be recorded but they do state on their website that calls to their numbers may be recorded.
If your daughters company has it anywhere in their staff handbook, or on a notice board, or similar that calls to the emergency lines may be recorded they have probably covered themselves in as much as the information is clearly available and it could reasonably be assumed that anyone she gave the number to then it would be down to her to inform them that the calls may be recorded.
Like I said, a very grey area and one that as far as I'm aware has never been taken to court so there is no precedent in the matter.