just to add a few more details
Maj-General Hugh Mackay (Col of i595a)
Lt-Col George Lauder (of i603a) with 200 picked fusiliers from Dutch brigade btns
1. Col Barthold Balfour’s btn (i603a) Scots-Dutch service (killed) 1/2 the regiment had been detached
2. Col George Ramsay’s btn (i675a) Scots-Dutch service
3. Col Alexander, Viscount Kenmure’s btn (recently raised Scots regiment, disbanded later)
Lord Belhaven’s independent troop of Scots horse (50 men? 1/3 squadron)
4. Col David, Earl of Leven’s btn (25F) (-200 men detached to Inverness)
5. Lt-Col James Mackay’s btn (i595a) Scots-Dutch service
Earl of Annadale’s independent troop of Scots horse (commanded by a lieutenant) (50 men? 1/3 squadron)
6. Col Ferdinand Hastings btn (13F) English foot -100 men detached to Inverness
12 companies + 1 grenadier company – 500 men (less 100 ?)
Son of Laird of Weem – 100 men – independent scots
not read anything about artillery yet
I don't have Reid's book so but most accounts seem to be based on John Mackay's - Life of Lt-General Hugh Mackay published in 1836
http://google.co.uk/books?id=Gp9WAAAAcAAJ
if we give an average strength of 500 men per btn we get an overall strength of 3,200 men for Mackay's troops possibly less (if Balfours was 600 men less half detached less 60 men to Lauder only gives 240 men)
hope this helps