This is Dr. David
I am sorry she has been feeling sick
and coughing so much
she could have pneumonia possibly
it would be best that she goes to an A&E department for evaluation
there they can do a chest xray and check for pneumonia or bronchitis
or she can ring up her GP and get to be seen right away.
she might need a course of antibiotics to help.
it is rare for UK doctors to make house calls, but some do
you can try to call her GP and see if you can reach their on- call service
you can also try to call NHS 111 which is a service that you can call if you urgently need medical help or advice but it's not a life-threatening situation. Available 24 hours a day, 365 days a year, calls are free from landlines and mobile phones.
they might be able to direct you to a GP or doctor who can make house visits to see her.
have you tried to call NHS 111 before?
that would be the best option for her
because then she can get an xray and evaluation
did you ask them about visiting home doctors ?
if she can't get to the urgent care, you might have to call for an ambulance to transport her to the urgent care center.
does she have a wheel chair she uses to get around?