Hi Dan. Tim Dowling's tree comes up a lot in Google searches for some reason known only to the Internet. In this case, his tree has no sources of any kind for the parents it lists. To meet pre-1700 profile criteria for citations it would need to have either a/ primary source documentation (parish birth register or the like clearly stating both parent and child) or b/ some very good secondary source information (a couple of period town records referencing Elizabeth Woodhouse, daughter of so and so....).
In this case, please do not add this information to the profile. I realize it is currently poorly sourced but this would not add any clarity since it provides no documentation for its parentage claim.
If you think the listed parent might be correct, use the name to see if you can locate primary and secondary sources to document that it is correct. It looks like people have searched long and hard for her parents but sometimes it is as simple as no one having yet found a document you may find in your searching.
