Car stalls won't start

The car started out going 20 miles or more before it would stall after about 15-20 mins it would restart gradually the amount of travel lessened still will restart after a cool down period last time it happened only drove about 5 miles ran the battery down so I haven't checked it for restarting always seems to happen to my wife so I don't know the exact conditions before it stalls she says it will stutter like once then it dies I have done a lot of research and it seems that it could be a lot of different things any idea what may be the most common cause (fuel pump)
(fuel pump relay) (crankshaft or camshaft sensor)i'm a my wits end any help would be greatly appreciated