You wrote:
According to the records I have found via the internet Ann was illegitimate I wonder does anyone from these lines knows who might have been her mother? Also does anyone have any information on William Kelly, her husband?

Someone might know this line and be able to help you, but for those of us who don't you need to supply details such as what date or year Ann was born, and where (from censuses) what date was her marriage and what details were given then for them both, and what records have you found via the internet to which you refer? Also what details were given at burials and/or MIs.

Sue