You've just got to prime the fuel pump vipersnest like the last two posts say. It's easy if you know what you are doing, but it'll costs time and money if you have to pay a garage or mechanic. Can your husband or a neighbour/friend/colleague etc do it while you make them a tea?
Does your mother-in-law know about buying cars? You shouldn't buy any car based on the price - you'll just get ripped off for £1000. What matters is whether a car has been looked after, well maintained and regularly serviced. A £500 car that's been looked after will be far more reliable and in better condition than a £2000 car that hasn't been serviced or touched since the owner bought it. Buy a car for £500 with a fresh MoT and it won't have much wrong.
Of course, once you've bought your well-maintained car - you've got to continue maintaining it! Have you looked under the bonnet of your georgeous little car to check it every week and keep it serviced? There are many (dare I say especially women) who buy a perfectly good car but then never touch it except to drive it. The car eventually gives problems - then they blame the car for being "unreliable"!
I hope you get the pump bled soon as the car will start fine then.