I was just wondering that if wikipedia conflicts with another paleontology database about temporal ranges, which one should I go with?
You should go with the Smithsonian Handbook as the primary authority on stratigraphic (temporal) ranges, and then to the Audubon if it's not in the Smithsonian. (See the official rules for this clarification). If neither the Smithsonian or Audubon has the stratigraphic range, then I'd go with the next most trustworthy source you can find (probably not Wikipedia) and note where you got the information from. It might be a little overkill but you can probably find more region-specific field guides that can tell you more about the stratigraphic ranges.