There are several books by Ezra Jack Keats which have songs to sing,
Over in the Meadow, Little Drummer Boy, John Henry, they are published by Scholastic Book Services and I believe they have a web site, http://www.scholastic.com/ and there are over 200 books by this author available used at http://www.abebooks.com/(he is also an illustrator) make sure to put EZRA JACK in the search box.

Another real winner is Holly Near's The Great Peace March which has been illustrated in a wonderful book. This would be a great song to raise a
kid on!! check here under the music link http://www.hollynear.com/

on that page holly recommends cathy fink and marcy marxer's "Changing Channels"