Hi Maryann,
First of all, your not supposed to feel pressured into doing anything. If it's not sitting right with you, then go with your gut instinct.
The appointment with the neurologist won't hurt ... at least you will know where you stand with Mum's health. As for prolonging her life, well that depends on her level of dementia ... because I really wouldn't want to keep somebody alive who wasn't 'themselves' the majority of the time (seeing the torture Alz. victims go through I wouldn't wish it on my worst enemy)
When it comes to daycare, perhaps her level of dementia is no longer able to tolerate large groups/intensive noises/group activities and that might be why she played up before. The social worker doesn't SEE mum in these situations, and as much as it might be a good idea in her eyes, in reality it's a whole different ball game.
Go with your gut.
:-)
Cheers