My friend has always slept on her right hand side, always. She reckons this has made the hair on her right side thinner than her left.
Perhaps a similar thing is happening here, the hair is thinner on one side, or the child has been lying on one side. Making one side of the head more attractive to the lice.
Or, if the hair on one side was indeed thicker, it may make the eggs on that side harder to spot, creating an illusion of more eggs on one side.
I think this theory creates more questions than it answers im afraid.