Just to add my wee bit to the Lawside works story.
If you look at the 1941 map, you will see to the left of Lawside works that there is a Rockwell works. This was owned by the Boase Spinning Company, and I served my apprenticeship as an electrician there from 1964 to 1968.
Lawside works was part of the South Mills group, which also included Boase Spinning Company, and as part of my apprenticeship, I spent some time in Lawside works as well!
The Last time I was in Dundee was a few years ago, and Rockwell works was completely demolished and housing built in it's place. Lawside works seemed to still be in use at that time, but I can't say what's there now.
The other 2 mills which were in the South Mills group were Garden works in Benvie road, which is also now housing, and South Mills itself, which is still standing, but has been converted to flats.
I left Dundee in 1969 to join the Merchant Navy, and I haven't worked in that city since.
Hope this is of some interest to you guys.
Jim