I am the same age as the OP's Mum. Have one daughter who lives less than a quarter of a mile away and also works very nearby.
I live alone, independently, go to a lot of groups, but if I did not attend these it would be a couple of weeks before any alarm bells would ring. Have always been concerned about being taken ill, or unconscious (or worse) and nobody finding me for several days.
Do not want cameras in my home, but each morning justr before I eat my brekkie I send that daughter a message just saying - if she does not get this by 9 am (occasionally I do forget), then she will telephone me and if I did not answer would come straight round (she has keys).
As I have got older and more infirm, then we considered the different options in the event of a fall, etc at home. I have a key safe outside my front door, do not like those bracelet or necklet alarm calls. However have Alexa and it can hear me from anywhere in my flat, including the balcony and that can be told either to telephone my daughter or son-on-law and to call an ambulance. Once purchased has no monthly payment, etc involved and no third party to go through.