Rules on going out

Leedee In answer to your first question - your mum can go shopping for essential supples and medicines, preferably at a time when the shops are quiet, but are there any schemes in her area to help people in their position? For example, most churches have set up arrangements for volunteers to get in shopping and leave it at the door. Look online - Google "coronavirus volunteer help" and her local area and see if there is anything, or look in your phone book for the nearest church and phone them to see if they have a scheme set up. You or your parents don't need to be a member of that church for them to help.

You can still walk the dog once a day, as part of your own permitted once day fresh air walk, but of course you must keep well away from others, and it is best to cover your mouth and nose with a scarf. If she needs out more often, maybe you could just take her into the garden? It is hard on pets, you can't explain to them why things have changed.

Your mum is right they should practice social distancing that is why supermarkets have special times for the vulnerable
The best option is to stay in apart from exercise but this isn't possible for everyone