Assuming you have Google Analytics tracking the content in the lyrics pages as well, you might find better results by using a conversion funnel. You can use regular expressions when setting up the funnel information so you should be able to match all of your song pages as the first step in the funnel and your lyric pages as your final step in the funnel.
I don't think using an event will work since each user could generate the event more then once the data won't have the information you are looking for (IE you could have 10 users 5 don't visit any lyrics pages, and the other 5 each visit 2 different lyric pages, the data would then show 10 users and 10 events, but you wouldn't have 100% click through rate.)
Another option if you have access to your log files would be to find all unique IPs that requested a song page then take that list and see how many of those IPs also requested a lyrics page.