The first one appears palomino, but this isn't a possibility unless one of the parents carried the cream gene. It's possible the sire was actually a buckskin dun instead of a bay dun, which would give a cream gene, but that's purely speculation since we have no photos of him! Assuming there really isn't any cream present, I'd guess flaxen chestnut with varnish.
The second appears to be regular chestnut/sorrel (with some appy spotting). Any primitive marks are likely just foal camouflage, since neither parent carries the dun gene, and the coat color isn't right for a red dun, anyway.