As i stated earlier in this thread we were allowed out into the playground to see the shuttle fly over, the two things i can remember about that day is it was a nice warm day (May/June time) and that the 747/Shuttle combo flew from west to east and not on the usual flight path to/from Glasgow airport.
This I can only assume is was because that it didn't stop at Glasgow for re-fuelling, but probably stopped at Prestwick, which was at that time the airport for transatlantic flights, and was also probably used regularly by the US Service's given it's relatively close proximity to the base at Holy Loch for personnel & supplies.
Just done a quick Google the Paris Air show in 1983 did feature the space shuttle.
I have also stumbled across site which has photographs of the 747 & Shuttle at London Stansted on 5th June 1983. Might be worth having a look around in the Mitchell, they will have the local papers on microfiche
http://www.airliners.net/search/photo.search?datesearch=June%205%2C%201983&distinct_entry=true
http://forums.randi.org/showthread.php?p=1558938