Natalia's no Kylie Minogue or Victoria Beckham - or even Kerry Katona. For people whose daily diet consists of tabloid newspapers, her husband is irrelevant and Natalia is a no-one. So she's not that well known on a truly national level, though she would be recognised by anyone who reads media aimed at a higher social level, such as The Times, Telegraph, Guardian newspapers or Vogue, Tatler or Harper's Bazaar. And they do seem to love her, I've never seen one negative thing printed about her. Because she's married into London society, she's been automatically accepted as being one of them. So yes, you could say her fame has been enhanced via her husband. He has helped to take her profile outside of the fashion world, but it's only spread so far, in that respect.
If she's ever made it into the tabloids - and into the greater national consciousness - it will have been thanks to her modelling work, especially stuff like appearing in Pirelli.