As you stated in your opening sentence, "this is not the first time this question has been asked." The Ancient Greek Philosophers of Science were asking this very question 2400-2500 years ago. Thinkers, such as Zeno of Elea, Heraclitus of Ephesus, Democritus of Abdera and Aristotle, were probing into this question...though with very different answers and conclusions.
Let's presuppose that Time, is infinite and has no beginning or foreseeable end-(this, incidentally, was a view held by Democritus). If it is true that Time has no start or finish, then the notion of a Naturally based Creation story-(no matter how sophisticated it may be), could not possibly work. Yet, the Big Bang THEORY, appears to be gaining more and more factual validity and legitimacy.
If the Big Bang is a convenient and comprehensible starting point for ALL physical reality, then it begs the question, what "moved" and helped form this infinitesimal proto point? The answer, still continues to mystify the Scientific community to this day. There are two possible cosmological answers:
The Multiverse Theory: Perhaps the Big Bang, was an explosion which marked the beginning of our existing Universe and that an older Universe-(or series of earlier Universes), predate the Big Bang, thereby expanding the time continuum.
Metaphysical/Supernatural explanation(s): The traditional position of nearly every society in History, was to associate the origin of the Universe, with the Divine. It is a nonphysical entity/entities who was/were responsible for causing or creating the Universe.
Which answer is correct? Well, I am neither an Astrophysicist, nor a Theologian; however, I too am interested in the process of time....primarily from a historical point of view.
Historians and History Teachers-(such as yours truly), are fascinated with antecedents, origins and causes. When did Human Civilization really begin? Did the earliest civilization originate in Iraq/Mesopotamia 6000 years ago? or should we go back to the earliest origins of humankind in East Africa dating back 5 million years ago? Whichever approach one takes in trying to better understand our human origins, the fields of History and Archeology, are constantly wondering about the distance of time and how it can relate to our present-day reality. Perhaps humankind's antecedents date back more than 5 million years and our human origins are much, much older than we originally believed.
In other words, the understanding of Time-(whether as a Historian, an Archeologist, an Astrophysicist, a Theologian, a Philosopher of Science or just as an everyday thinking civilian), has and will continue to mystify and fascinate us. Even with our contemporary advancements in space technology and exploration, as well as our ability to understand the tangible origins of our existing universe; the age old question about whether time is infinite or created, will probably remain, unresolved and a mystery.