I strongly believe there is great cause for you to reconsider, for when you click on other links to go deeper, the evidence of her family connection is there. By your own word "appears", I'm wondering if you are basing your decision ONLY on the above info I copied from the Memorial Page, for the page contains other family links, and an old newspaper article, with info provided by family at the time. The names listed in the article seem to match up with corresponding family tree info. Also, if you click on the link to her father's memorial page, the info reads....
"According to a monument erected by members of the Preston family in 1855, John Preston was buried in Tinkling Springs graveyard in 1747. His wife Elizabeth Patton Preston, eloped with John in 1723 in Ireland before coming to an American colony in Virginia, (Beverley's Manor) and joining Elizabeth's brother James Patton, already there. John and Elizabeth came to America on board "The Walpole", a ship owned by Elizabeth's brother James (their father was Henry Patton of Ireland, a shipping magnate of the time). John was a shipbuilder/carpenter,and was said to be very handsome. His sister Jane married Alexander Breckinridge, while another sister, Margaret Preston married his brother-in-law, William Patton."
Since this info in the article, and the above was provided by the family, WHO ARE DIRECT DESCENDANTS, and at the time of the article, still living in the ancestral home... and a very prominent family at that... the family would know who their own kin and family history, like which ship they arrived on, etc. And personal info, like how he and his wife eloped. Since INFO PROVIDED BY THE FAMILY IS NORMALLY ACCEPTABLE, unless other stronger sourced info proves otherwise... and this is all info that would be a matter of record... then what cause do we have that would make us believe that the statement, "His sister Jane married Alexander Breckinridge" is not also correct?
I then go back to my original request, for based on the above info, we have sufficient evidence to reconnect Jane to her parents' and brother's profiles.
Thank you!