What is the ruling on naming a girl "Juraynah" and is it the diminutive of "Jury"?

The word "Juraynah" is not a diminutive of "Juri." The correct diminutive for "Juri" is "Juwayri," following the pattern "fu'ayl," because the word is triliteral. The word "Juri" is attributed to the Persian city of Jur. The word "Juraynah" has not been found in Arabic sources and may be of foreign origin. It is permissible to name with foreign names as long as their meaning is not religiously reprehensible or if they are not exclusive to non-Muslims.