At the stage of development where you already have existing giraffes and vultures, it stands to reason that there would be other avian life-forms. It's more reasonable in the situation you proposed that Vultures evolved from a pre-existing life form that was already avian.
The ''bird-like creature'' that I typed in the first para probably evolved from something that was less birdlike that evolved from something that was even less birdlike and you go back the chain until you get something that wasn't birdlike at all. That's the simplest I can put it...adaptations to environment over time + natural selection + mutations in genetic code = result in organisms that eventually don't resemble their base at all. That's evolution anyway.
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