It is named after the first lady Governess of Uttar Pradesh, poet and freedom fighter, Bharat Kokila Smt.

Plans for establishing the school were made by the British East India Company; the maintenance cost was also borne by it.

In 1883 Lady Lyall Duuerin Hospital was founded as a separate section for the medical training of female students.

Undergraduate courses MBBS (medical school degree, equivalent to Doctor of Medicine or MD in some countries) Postgraduate courses Postgraduate Diplomas - Pharmacy, Obstetrics & Gynecology, Pediatrics, ENT, Ophthalmology, Radio diagnosis, Psychiatry, Radiotherapy, Pulmonary Medicine Entry to this institute is highly competitive, with admission offered to less than the top 1% of applicants.

The medical college entrance examination for SNMC is through NEET exam in India.