I found this interesting PhD thesis that looks at music education in Nigeria. One thing that stands out to me is when Young Sook Onyiuke says, "The average Nigerian citizen looks down on formal music education and yet, encounters music in everyday activities of life ranging from morning and evening devotions to daily activities." It is ironic that much of African music education has shied away from the very cultural heritage that predominates every facet of day to day life since the dawn of time. Young notes multiple methods for music development that "include moving rhythmically to music; clapping in time to it; humming or chanting; taking part in musical games; singing from memory; instrumental play and be[ing] directed in group performance etc."

Igbo children's Song Udala M Too [1]

This 2013 Nursery Rhymes for Africa indiegogo campaign strives to accomplish the same by accompanying native African nursery rhymes with professional accompaniment. You can find 26 lullabies in 11 native African languages in Song from the Baobab: African Lullabies and Nursery Rhymes. I saw a book on Yoruba nursery rhymes while at the University of Ibadan, and one Haitian-American student researched and found that there are hundreds of traditional Yoruba songs in Yorubaland, many targeted for children. The challenge going forward is to record the songs, and this does not always have to be difficult, for e.g., while in Ibadan one of the teachers made a simple solo recording of the children's songs taught during class. I don't think that professional quality is most important for starters, but that the melody and lyrics are clearly audible with a tune that's fun and easy to pick up. You can find people from Western countries doing just that, for e.g., Mama Lisa's Kid Songs and Rhymes of Africa that includes lyrics and YouTube recordings of kids songs from dozens of African countries. Dr. Fagbola gives this guitar rendition of the popular Labe igi Orombo Yoruba children's song on YouTube. There is this collection from the U. of Wisconsin. African Americans also have nursery rhymes. For example, Thomas Talley collected dozens of old negro nursery rhymes available here, but I'm not sure how the tunes go to them, and this may require a research project in and of itself to discover. 

© Learn Igbo Now

Oh! My Mother (Igbo)

Onye bu nne gi?                                              Who is my mother?

Nne m ezigbo nne                                           My mother is a nice mother

Onye bu nne gi?                                              Who is my mother?

Nne m ezigbo nne                                           My mother is a nice mother

Nne mu maro ga agu na agu mu                     My mother knows when I am hungry

Nne mu  maro gi si na wamo                          My mother knows when I have a headache

Nne mu maro ga afo na ata mu                       My mother knows when I have a stomach ache

Ezi nwa, Biko ichefuna nne gi                        Good child, Please don't forget your mother

Ewo! Nne mu                                                  Oh! My mother

Nne m ezigbo nne                                           My mother is a nice mother

Nne m ezigbo nne                                           My mother is a nice mother

I found this link about special musical symbols available in HTML such as:

These allow for the beginning of documenting tunes to lullabies and nursery rhymes for distribution of the WWW.