Mortgages don’t take years to “go through”, the decision is a pretty straight yes or no from the bank.
I think what your mum is telling you is that she’s been trying to find a bank that will lend to her all this time and none of them will.
Unless she’s been saving a massive deposit or increased her earnings a lot over this time it’s unlikely that’ll ever change.
The property will also have increased in value significantly over 8 years, meaning the amount she needs to borrow from the bank will be much more. Further reducing the chances of getting a mortgage as each year goes by.
Obviously this is quite depressing (but such is the London housing market).