The story
Shortening, chiefly of Virginia (which is also shortened to Ginny), sometimes of Eugenia, and rarely of Genevieve (more often shortened to Genny).
Etymology from Wiktionary, CC BY-SA 4.0.
jinny
Today it means: A diminutive of the female given names (chiefly) Virginia, (sometimes) Eugenia, and (rarely) Genevieve. Full definition →