Outside of the immigration issue, you will probably have some challenges finding a decent mortgage rate, or even a mortgage at all, unless is an all-cash purchase?
To be fair, half of London seems to be owned by Russian/Chinese investors so there must be some way* to do this. I think the bigger hurdle would be UKBA potentially flagging her many visits and if in some way it came to light she owned a place here, that she wasn't attempting to live in the UK on a visitor visa.
Another potential option - could she go in with you to buy a property that either has a bit of land attached to it or some way to make a 'mother in law' suite in a separate building? That may be more cost effective/secure than trying to sort out the legal and financial logistics of an entirely separate dwelling.
(*for the right price)