I think you might be referring to the 1990 film "Not Without My Daughter" and looking for a story related to it in Georgian (qartulad).

Betty Mahmoody (played by Michelle Phillips) is an American woman who marries Sayyed Mahmoody (played by Tahar Rahim), an Iranian man. They have a daughter, Mahtob (played by Shirin Neshat). When Sayyed wins a visa to return to Iran, he insists that Betty and Mahtob accompany him. However, upon arrival, Betty realizes that Sayyed's family has planned to keep her and Mahtob in Iran, and she becomes determined to escape and return to the United States.

Here's a brief summary: