Hi again,
Sorry I have been away, real life keeps interrupting my searching :-(
Thanks again for all your research. I have found a copy of a Sarah Bates birth cert attached to a tree on ancestry, unfortunately it is very small and difficult to read. However I am pretty sure that it says Father James Bates and mother Mary Ann Johnson. That is what the tree owner has listed the parents as. I have sent a message to the owner.
I will go ahead and order the marriage cert of Sarah Groves & Thomas Richardson. I think this is the only way I can be sure that the birth cert the other tree holder has is the same Sarah.
Sarah's daughter's birth cert said mother - Sarah Richardson, late Groves, formally Waterfall so I am keen to see who Sarah listed as her father on her marriage and I am happy that this Sarah is the correct one.
I have attached a copy of Mary Ann Richardson's birth cert and the small copy of Sarah's birth cert.