"They did set up their headquarters in the lee of Solomon's Temple,"
This has been confusing me since the discussion of the Templars surfaced again recently. Wasn't Solomon's Temple destroyed in 70 AD? Was the Dome of the Rock built by the time of crusades, does anyone know when it was built? Thanks.
Here's a good site with history of Solomon's Stables that places them both physically and historically.
Solomon's Stables and the Southern Gates
The site itself, TempleMount.ORG is an overall history of the Temple Mount and appears pretty good, archaeologically.