In England, call 44 208 585 1755 for the Vacheron Constantin Concierge for Great Britain. Give her the case and movement numbers and she will contact the Archive division in Geneva and give you the information. Sometimes, right over the phone she can look it up in her database and provide the information right away. It is usually sent by email; so you don't have to play phone tag.
Your watch looks like one of the new Patek Philippe Calatrava, but better...
Thanks Bill for the helpful advice
Thank you Alex.
The watch is a later model than I expected.
I am considering a full VC service for the watch and a new VC strap as the current strap is a replacement and quite worn.
Cal.1003 is one of my favorite calibres but I don't have any watch using the calibre.
You have very elegant timepiece.