One of the colours to try is DMC 3064. If that works, then work the shading around that.

Try these links:

http://www.tiag.com/background/altcolor.html

http://www.carouselcharts.com/SkinTones.pdf

http://www.stitchinginthetexashillcountry.com/the_needle_works/2013/02/share-a-stitch-sunday-february-24.html

https://www.crosscountrystitching.com/Customer%20service/skintones.htm

I just happen to have a Precious Moments pattern book with a cute African American baby in it!

DMC Floss:
The skin color is 407 (Desert sand-Dark)
The eye colors are 938 (Coffee Brown-Ultra Dark) and 434 (Brown-Light) The main color is the dark one and the lesser color is the light.
The hair is 3371 (Black Brown

There's a note at the bottom of the chart saying to use 3 strands of floss when stitching the hair.

Hope this helps.