"She wants to live with my wife."
Translation:היא רוצָה לגור עם אישתי.
To elaborate on AmirLFC's point, in idiomatic Israeli Hebrew the possessive suffix pronoun is commonly used with nouns which refer to family members, e.g., אמי, אבי, אחי. Included is בעלה, "her husband," and אשתך, "your wife," etc. It seems that an exception is הורים, "parents," which takes של