The Pediatrician Answers:
Eye color, according to my opthamologist colleagues, has usually stabilized by around 6 months of age. However, there may continue to be subtle changes in shade up until adulthood.
And yes, it is possible for two brown-eyed parents to have a blue-eyed child. Brown is generally a dominant color, but there are several factors and genes involved, and although the odds are likely in favor of a brown-eyed child, a blue-eyed child can still be born to brown-eyed parents. That should put to rest any fears about the milkman.