I checked the Virginia Museum of History and Culture, they say that birth records are virtually non existent in Virginia before 1853. https://virginiahistory.org/research/research-resources/searching-people#Birth%20and%20death%20records
However there may be other records to be found there.
Your next best bet is the marriage or death record of Christina. Check with the local Genealogical Societies in the areas where you think she was born, ask them to do a search.
Here is Wikitree page of Virginia Sources
https://www.wikitree.com/wiki/Space:Sources-Virginia
Look for local community early pioneer books that may list the family.
Google search her name, names of her family, Individual family trees may be unsourced but can provide interesting leads, and you never know what you might find out.
Research her proposed family so you can see where they lived, where they died etc, can you connect the dots that way.
Search the likely cemeteries for her grave, they may hold records.
Search for a family bible or a published genealogical research done on the family.
You probably have done a lot of this already, but new info comes online all the time. Always good to revisit what you have searched before.
Good luck
