I am surprised that engines allocated to Inverness would have had the emblem for Glasgow Eastfield depot... unless things were done differently in Scotland.
The Cl37 website helps in some respect where there is an entry for an engine.... however to make most use of the site one needs to have a number to start with!
Since writing the original post the field has narrowed somewhat and the current preference is for circa 1986, named Loch Rannoch, in large logo with black bonnet top and carrying the Eastfield depot emblem.
I shall be pleased to receive any scans / images / references to same of this loco.