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Oct 13, 2017 - Or is there a preferred version of Chrome for Mavericks 10.9.5? Google Chrome updates because Mac OS X 10.9 is no longer supported.
I just ran into a similar problem. I know this is an old question, but for anyone finding it in the future, the answer to 'I don't see a Library folder in my username folder' is probably 'OSX hid it'. (You can see the folder is a paler blue than normal viewable directories in my second screenshot in my question, ) You have to reveal hidden files to see the Library directory to get to the rest of the Chrome data you need. I did that permanently (I think) using the directions popped up in a Google search: The long way to show hidden Mac OS X files is as follows: Open Terminal found in Finder Applications Utilities.
In Terminal, paste the following: defaults write com.apple.finder AppleShowAllFiles YES Press return. Hold the 'Option/alt' key, then right click on the Finder icon in the dock and click Relaunch.