Most clutches at Darkling Dawn will feature one of these two types of dragons. However, if the parents are sufficiently structurally different from the norm, new types of dragons may appear. (I'll draw new, unique images for the clutch, or have the owner of one of the parents do so.)
The dragon's names and colors are mostly dependent upon the origin of their parents. Old World dragons would have the standard five colors with a chance of a white or other rare, while Alskyrian dragons would have those nine colors. If the parents use dynastic endings or other patterns for their names, the children will probably do the same. If the parents had magic or other special abilities, the children will probably inherit that as well.
Crossbreeds will have colors and names from both parents' origin, and these colors will not be considered rare unless they are not normal for either parents. (i.e. A Danachian-Pernese purple would have the same ranking as a full Danachian, above a blue and below a brown/copper.)
Most dragons will bond with someone of their own gender, if they do bond, but it's not uncommon for them to pick a rider of the opposite gender. They may also decide not to bond, and instead go to another Weyr or Dragonry to live. Some dragons may also bond to a sibling (or two), and two dragons may bond to the same candidate. These instances are much rarer, though.