2004 Vauxhall Corsa Corsa turning over but not firing

2004 Vauxhall Corsa Manual 48000 miles

Hi, I know absolutely nothing about cars (unsurprisingly for a Corsa driver) and would really appreciate some advice.

My 1ltr corsa died on Friday - drove home, stepped out of it for five minutes, got back in and it wouldn't start. Turns over but doesn't fire, the dash isn't showing any unusual information. Not had any problems with it previously. I've had it towed to a local garage (who i've not used before). They initially diagnosed a faulty fuel pump, and replaced at a cost of £310 for parts/labour. Having done so, they found that the car still doesn't start. They've also replaced the sparks, and tried a coil pack(?) On it, still nothing. They say they've got someone in to run diagnostic tests on it, and it's showing no fault. The last update I got from the garage basically amounted to "we don't know, " so it feels like the blind leading the blind.

So, here's my questions - assuming that fuel wasn't getting through to the engine, is there anything else other than a failed fuel pump that might have caused this? Now that fuel is getting though to the engine, any ideas on what else could be the problem? How do I know whether the fuel pump actually needed to be replaced? £310 is a lot of money for something that doesn't seem to have fixed the problem - is it likely that several things have gone wrong simultaneously?

Thanks very much in advance for any help