Browsing the forums, I found people are having trouble finding the latest Safari for Lion. It may only run on 10.7.5:
If it runs on older versions of Lion, please confirm, after backing up your data:
http://swcdn.apple.com/content/downloads/51/43/031-2516/azk33bwf7brw2f6sjh9swwkq 736dbkonwe/Safari6.1.1Lion.pkg