The Florence Nightingale effect is a trope where a caregiver falls in love with their patient, even if very little communication or contact takes place outside of basic care.
The effect is named for Florence Nightingale, a pioneer in the field of nursing in the second half of the 19th century.
Due to her dedication to patient care, she was dubbed "The Lady with the Lamp" because of her habit of making rounds at night, previously not done.
In fact, despite multiple suitors, she never married for fear it might interfere with her calling for nursing.
[2] In the film Back to the Future, Dr. Emmett Brown refers to this effect to explain the infatuation of Marty's mother, Lorraine, with the man who would be his father, when taking care of him for one night after her father's car struck Marty.