If the slate is brunstone, pay special attention to it's condition. More brittle than slate.
Look for damage around the dowels that join the three pieces. Also look for fractures around the rail bolt holes. If the bolts were over torqued, it could cause damage.
Make sure the skirts, aprons and railblinds are a matched set. If they're mismatched, you'll have a hard time getting everything to line up.
Download and print off the install manual PDF. If you're familiar with it, you'll know what could be missing.
http://www.chicagobilliardmuseum.org/files/Gold_Crown_1961.pdf
This should get you started - good luck.