Try not to make your questions too vague-a more specific question usually returns a better answer with more information. Keep in mind that some of what you hear from your family members may be more along the lines of 'family legend' rather than actual fact, but even such legends may provide clues to further avenues of research. Do not discard, out of hand, any information you gather, particularly in the early stages of your research. Though family bibles are usually the most informative of heirlooms, there are others which may provide a wealth of information as well. Old history books, particularly local histories, may include notes in the margins indicating a relationship to a family member.
Photo albums are often invaluable, especially if names are included.
Online Research OK, you've put together everything you know so far, and now you're looking for more info about your family. This listing currently includes the earliest listing for each area and will be expanded as time goes on. Chester page includes links to a number of genealogy databases containing names that are related to Chester county. There are also several databases linked from the Surnames page that may contain info on your families. These are a good starting point for Chester county names.