I'm thinking of creating a website and recording some of the songs we frequently play at church. The vast majority of these songs were written by someone else and were taken from a book that is devoted to song leaders / worship leaders in churches. The book obviously encourages churches to sing and play those songs and based on my understanding you do not need written approval to do so. I would like to show the notes / words that I am also playing to teach others how to play the guitar as well. Is this copyright infringement?
You aren't selling the songs (if I understand correctly) so I don't think you will have any problems, however, you'll need permission to post the sheet music.