Yes, living at home, policy with Allianz. they say would not be covered for employer liability ( e.g .if carer hurt back while lifting mother ) and don't even offer it as additional cover. If carer tripped and fell they would be covered under the public liability element as normal.
This was just a guy on the phone, will need to check the policy now.
That insurance company advice seems poor, confusing and somewhat contradictory.
There is no solid and unique legal definition of what constitutes an employee.
Much turns on the specific facts of any particular accident.
There are a number of tests of whether the employer/employee [master/servant] relationship exists, the principal one being that of
control. Control means more that just directing the end purpose of the employee's work but would include retention of the right to direct how any item of work is done.
I would have thought on the information posted that there is a fair presumption that the "master/servant" relationship exists.
The insurance company statement that a fall by carer would constitute a public liability claim makes no sense.
If the carer is an employee they would probably not be able to make a claim under the public liability cover.
Does it make any difference as to which liability cover would operate in the event of an accident ?
Yes.
In the context of a master/servant relationship there are a number of additional and specific legal duties of care owed to an employee that would not exist in the absence of that relationship, e.g. a safe place of work, a safe system of work to name two particular obligations.
If a resident carer was an employee of a homecare agency then I would see any claim falling under the public liability cover as they would probably not be the homeowner's employee.
I would ask the insurance company to explain their position in writing.
Do they want OP to take out a specific employers' liability policy

?
P.S. side-bar point OP but have you also checked out if there are any requirements to pay PRSI make tax deductions and the like if "employing" a carer directly ?
It might be safer to contract this out to a homecare company on the basis that the carer is not your mother's "employee".
BTW would the fair deal scheme cover this if your mother's clinical position justified it ?