I'm afraid you have your chronology askew. The Big Bang Theory of cosmology didn't originate until the middle of the 20th century or thereabouts (I'm not a cosmologist, I can't give you an exact date). The Theory of Evolution does not concern itself with the origins of life let alone the origins of the universe -- it simple explains observed changes in allele frequencies over time.
The Big Bang didn't happen until the 20th century??? Wow, it must have been the little popper gun before that. Actually, I was referring to the one referring to the Big Bang Theory creating the universe and the solar system we know today which then gives rise later to their being conditions for the formation of life or the Theory of Evolution. Thus one does arise from the other. I'm not referring to when the theories came about.
Quite right.
The Big Bang Theory is the dominant scientific theory about the origin of the universe. According to the big bang, the universe was created sometime between 10 billion and 20 billion years ago from a cosmic explosion that hurled matter and in all directions.
In 1927, the Belgian priest Georges Lemaître was the first to propose that the universe began with the explosion of a primeval atom. His proposal came after observing the red shift in distant nebulas by astronomers to a model of the universe based on relativity. Years later, Edwin Hubble found experimental evidence to help justify Lemaître's theory. He found that distant galaxies in every direction are going away from us with speeds proportional to their distance.
The big bang was initially suggested because it explains why distant galaxies are traveling away from us at great speeds. The theory also predicts the existence of cosmic background radiation (the glow left over from the explosion itself). The Big Bang Theory received its strongest confirmation when this radiation was discovered in 1964 by Arno Penzias and Robert Wilson, who later won the Nobel Prize for this discovery.
Although the Big Bang Theory is widely accepted, it probably will never be proved; consequentially, leaving a number of tough, unanswered questions. http://liftoff.msfc.nasa.gov/academy/universe/b_bang.html