No.
While the fireblood dwarf (Dragon Magic 7) has the subtype dragonblood (DM 4) (and, obviously, dwarf), the fireblood dwarf's type remains humanoid not dragon. Only creatures with the actual dragon type--not just the dragonblood subtype--meet the prerequisites of feats that have as a prerequisite the type dragon, like the feats Improved Speed (Draconomicon 71) and Rapidstrike (73).
Further, were a PC to qualify for such feats because of his type (e.g. when he advances a level the PC is the subject of the spell essence of the dragon [trans] (Races of the Dragon 112-3)) the player must still seek the DM's permission to take the feat if the feat's in the category monstrous (Draconomicon 66).
The dragonblood subtype, however, does allow a creature to take feats that have the dragonblood subtype as a prerequisite, such as some feats presented in Dragon Magic and Races of the Dragon.
A unique and highly unusual new dragon offspring, who is typically sterile
The D&D 3.5 sourcebook Draconomicon (2003), p.27 asserts that dragons of different types can produce hybrid offspring:
Crossbreeds between dragon species are not unknown, but very rare. A hybrid dragon of this sort is usually left to fend for itself, but on occasion both parents (if they are on good terms with each other) might watch over it until it reaches adulthood.
The AD&D 2e Draconomicon (1990), p.64 describes that chromatic dragons can interbreed. The majority of such creatures are infertile, and therefore do not continue to produce offspring. Their coloration is a blend of the parents' color, and many other attributes are a half-way between the two parents, such as size and other details of physical appearance.
The breath weapon of a cross-breed dragon is usually that of one of its parents, but sometimes it is a combination of the two. They tend to learn the behavioural patterns of the parent who raises them.
The result of two metallic dragons breeding are more unpredictable and sometimes bizarre. These are rarer, with most interbreeding taking place between chromatic dragons (Draconomicon (1990), p.12).
Crossbreeds between metallic and chromatic dragons are extremely rare, but are known to happen. Their traits are highly variable and unpredictable, even more so than the offspring of two metallic dragons.
Bronze dragons particularly mate for life, and take courtship and mating very seriously, making a bronze hybrid less likely, but they care for their offspring with dedication. Blue dragons similarly have elaborate courtship rituals and care for their eggs (Draconomicon (2003), p.40), so a hybrid between these two types of dragon may well survive to adulthood. The exact traits, however, are unpredictable.
Best Answer
Silver dragons are canonically the most interested in humanoids, having always found them fascinating and engaged in interaction with humanoids on a very regular basis, especially humans, and would most likely empathise with an abandoned human or other race and take it in.
Other dragons are often too aloof or alien in their thinking to consider raising a child from a different race, though if you really need a secondary choice, gold dragons very rarely take an interest in outside situations and could find a humanoid interesting enough to raise
On the other hand, if you've already decided on a color, the dragon the same color as you would feel alot more kinship with a lost dragonborn of their ancestry