Humans At Time Of Adam عليه السلام
Yes! fossils could be a representation of that Era. Nafsiwahidah is talking about human beings, the same can be inferred for other species, each could’ve had its own separate beginning. Nothing can be said conclusively scientifically, but seems close to the kind of expansion that we see in Cambrian Explosion which has a great gap in it being all arising from a single ancestor or a single cell.
The problem with Paleontological evidence is that the sample from which population is extrapolated is very narrow and there is no way of verifying the exhaustiveness of the fossils/sites. It is indeed an amazing science, but we should know its limits as well. Because of Neo-Darwinism and its strong association with atheism, it has become itself a creed for which arguments are presented under umbrella of Science to mitigate the apparent biasness. I too find many problems with Common Ancestry. Despite the fossils related to evolution found so far, there are many missing links (which of course Neo-Darwinists are not ready to admit) and there is no way to determine exhaustiveness of those fossils to establish a fact based theory. The debate of Cambrian Explosion, The Molecular Clocks Anomaly, and the problems with population genetics along with improbability of multiple mutations happening simultaneously which is a prerequisite for Neo-Darwinian evolution to take place according to new researches. The best way would be to read both sides of arguments (there are accomplished scientists on both sides of the aisle) and judge for yourself. A scientist is a human being after all and he/she is not free from bias and prejudice and other factors which revolve around a human being. Study for yourself and you’ll be easily able to find where something has been presented under influence of a particular creed and where it has been said with valid and logical arguments. Discussing these kind of issues with common people will always give you incomplete picture or a biased conclusion for that matter. The best way is to consult the expert and then use your faculty of reasoning to judge for yourself that whose arguments have more weightage, in a similar way we do with religion. I would suggest you to read the Blind Watchmaker by Richard Dawkins and Darwin’s Doubt by Stephen C. Meyer. This will give you a fair picture of each side’s arguments.