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answers:
Lighting the Way to Reality say: If the egg comes from a chicken, how could the egg be first?
The answer to the question of which came first, the chicken or the egg, is quite easy to understand from an evolutionary standpoint.
All animals produce eggs, including humans (female that is). So your question isn't applicable to just chickens.
The production of eggs as a means of reproduction was around a lot longer than chickens were. The first eggs were produced by early, simple animals several hundred million years ago. As the simple animals evolved into more complex forms over time, the production of eggs continued to be a part of the process of reproduction.
There are a great many fossils of small dinosaurs with feather impressions showing a wide variety of forms. The feathers would initially have been used for insulation, for there is evidence that the dinosaurs were at least meso-thermal instead of being cold blooded.
Subsequently, some lines of small feathered dinosaurs evolved into gliders and then flyers.
Here is a fossil of one such. Its skeleton is more like that of a small theropod dinosaur than of a bird. It has teeth, a long, boned tail, and separate fingers instead of fused fingers as in modern birds.
https://australianmuseum.net.au/uploads/...
See also the video below, which show a couple of other kinds of flying feathered dinosaurs.
https://www.youtube.com/watch?v=-fyxUxGd...
See also these links.
http://www.sciencedaily.com/releases/201...
http://en.wikipedia.org/wiki/Feathered_dinosaurs
Like all other dinosaurs, the small feathered theropod dinosaurs that were the ancestors of birds produced eggs long before there were chickens.
And see the image below showing how the the archaeopteryx skeleton fits between that of a more typical theropod and that of a chicken. Click on it to enlarge it.