Your question should generate several answers... but, I believe the general consensus is that the Universe is somewhere between 13.5 to 15 billion years old. Additionally, quantum physics can only approximate the event of the actual Big Bang.. that is, limitations of predictive theory gets us back to several billionths of trillinonths of a second (Planck Time or distance) after the event. However, again the speculation seems to be inthe direction that within about that speck of time the baby universe inflated from the size of, say a basketball, to the size of our galaxy in a speed far beyond the speed of light... and continues to expand at an extremely high speed. But for the first 200 million years or so, there was little if any organization in the mass of energy that would age into the universe and especially the first or proto stars. Those were fairly short lived, for a number of reasons, but the light that emanated from their short lives travels at the speed of light for infinity or near infinity, since the universe is demonstrably not infinite. So... long winded way of saying the light that is now being observed (actually, measured) has been travelling unimagineable distances and is only now reaching us. The fact that the source of that light has since ceased to exist doesn't matter... think of turning off your hall light at the switch... the light that was on continues to travel, except in the case of the hall light, most of the photons are being absorbed by the house structure, just as much of the original starlight has been absorbed by dust, gas, and galaxies as it has traveled.
Contd.