Finally, after a lot of searching, I have found what I was looking for. Bragg Liquid Aminos do not share a line with sesame. I emailed the company and they quickly responded with the answer I was looking for. If you are looking for a safe alternative to tamari or soy (both often run the risk of cross-contamination with sesame if product shares line with sesame).
Here is the link to the product: http://bragg.com/products/bragg-liquid-aminos-soy-alternative.html
Please note that Bragg does not label for sesame.
I have also researched Eden Organic Tamari. The customer service department responded with the following statement: "The line where the Tamari is bottled also has bottled. The lines are cleaned thoroughly in between runs".