Sounds like what happened to my daughters Crown Vic. It was a loose connection at the crankshaft position sensor. If there's a bad connection the computer doesn't think the engine is turning over so things, like the fuel pump, don't get turned on when you crank the engine. I guess it happens a lot on the Crown Vics.
On the Crown Vic the sensor is located low on the left side (as your looking at the engine from the front of the car) of the front engine cover, about ten o'clock to the harmonic balancer and about five o'clock to the AC compressor. I think it's pretty much in the same area on the Mark, just harder to reach because things are a little tighter. It might be easier to come at it from under the car. If you can get a finger on it and wiggle it around it can make a difference, if it works then you can go for the fix.