[seszett]

It's common for most European people I think.

In France, "têtes blondes" (meaning "blonde heads") means children in general, because most children are born with blonde hair, even though they turn dark later on for most of them. Although this is about hair, eye colour is very much correlated with this.

I'm pretty sure that's only the case for people of European descent though, bar probably a few exceptions.

[cafard]

Children of African descent do sometimes, perhaps often, have blue eyes when very young. A remember a co-worker teased about her child's "contacts". (Let me be clear: teased by other women of color.)

[kurthr]

In the US (south?) they're called towheads.