A couple of researchers on Ancestry.com list Barbara's birth place as Cologne, Germany and her parents as Johannes Strickler 1725-1795 and Elisabeth Sprenckel 1718-1795 who lived in York County, Pennsylvania.
However, I strongly suggest not assuming they have it right; they can easily have it completely wrong. For example they have Barbara born in Germany but her mother born in York County. It's extremely unlikely her mother went to Germany to give birth to her.
I suggest verifying the information. Probably the best place to start would be with Johannes and Elisabeth's estate papers which would have been filed at the York County Register of Wills Office.
You could also check with the York County Heritage Center to see what they have on this family.