I believe that is correct, Violet. I remember seeing an interesting BBC documentary which explained that humans first evolved in what is now called Africa. About 40,000 years ago (I think it was 40,000), they started migrating across the Arabian Peninsula into Central Asia and then down south towards India and East towards China and SE Asia. A few hardy ones made it up into NE Russia and across to Alaska (during an ice-age when the sea-level went down). They then populated North and South America. Obviously this all happened slowly over thousands and tens of thousands of years. About 30,000 years ago, humans from Central Asia moved west and entered what is now Europe (I think they were blocked by ice and snow before that). About 500 years ago some of the humans from Europe made it across the Atlantic and supplanted the existing population in North America. So we are all African really. This was established through DNA testing.
This is my recollection of a documentary. If any of it is wrong, please correct me.

