I also still have some affection for Eddie's, an early breakfast of 'Buck Rarebit' and Mushrooms on toast hmm! Although the arrival of the 'Parrot' did give pause for thought, its arrival didn't affect the food (although today the inspectors would have fits).
From incredibly vague memory Eddie P started out running a snack bar at Croydon Airport before moving to Gatwick and getting the Canteen franchise. As Panop says a good 'greasy spoon' - with a bar (which due company regulations I never got to use).
I cannot remember when (1979 is my best guess), or why it closed.. Became a Gatwick Handling Control Centre.
Eddie's and the lone tree between it and the Terminal, survived many major changes to Gatwick (how the Tree survived the building of Concord House only God Knows), the tree remained long after Eddies Closed, is it still hanging in there?