I'll answer that since it's the subject of my thesis. I have to say that I mostly researched primary sources connected to mental asylum in Stenjevec near Zagreb, Croatia between 1879 and 1918 (when Croatia was officialy part of Austria- Hungary) so I'm not this familiar with victorian situation.
My answer to your question can be shortly summed as "it depends". There are many factors that would determine the kind of treatments forced upon the unfortunate woman. First of them is the time period. Early Victorian times are times of so called "moral treatment". Moral treatment (whose main propanents in UK were Quakers William and Samule Tuke) was based upon assumption that the cure for insanity lays in establishment of disciplined routine for inmates. Important part of this was work therapy: patients were required to work either in asylum itself or (as was mostly case in Stenjevec) on the land. Women were mostly employed in the kitchen or in laundry where they washed and repaired linen and clothes of inmates. Some of them if they were disciplined enough even found permanent paid jobs within asylums as servants. This work has important role in the efforts of asylum superintendants to make asylums self-sustainable.
As asylum's became more crowded and more scarcely funded toward end of the century moral treatment gave way to simple confinement. This basically means that most inmaets were left to wallow in their dorms or, in lack of space, on the hallways of asylum If they were unruly restrains were used: straitjackets, netted beds and bed binds those that were most commonly used. Sometimes inmates were wrapped in wet sheets. Patiens that were hard to restrain were given sedative drugs: Veronal or Barbital was mostly used after 1903, earlier most common were potassium bromide and trional.
Mania was constructed illness characterized by unrulliness of patients and while most superintendants were satisfied by employing traditional methods of restrain and isolation of those troublesom inmates. Some doctors haowever employed radical surgical methods on manic women believing that the source of their unruly behavious is in their reproductive system. Surgical removals of clitoris, uterus and ovaries were practiced by George Adler Blumer, superintendant of Butler Hospital in Providence, Rhode Island. In the quote illustrative of brutal sexism that was more than present in turn of the century psychiatry he described benefitial efects of the removal of ovaries to mother of one female patient:
"Having for over two weeks occupied myself the bedroom immediately under that in which your daughter sleeps, her deplorable condition has been painfully impressed upon me by her frenzied noisiness." In December, after "the artificial induction of the menopause," he was able to write: "I want you to rejoice with me that your daughter is in the sewing room, sitting quietly with other patients, hemming napkins. Before her operation, that would have been out of the question. She has also lent a hand in washing glass. The nurse told me that she wiped the tumblers carefully and held them up to the light knowingly to catch the sparkle that the experienced housewife likes to see after cleansing and friction."
In Stenjevac there was no surgical methods but very confinement of women that were considered "unruly" or "promiscuous" had shattering impact of the psyche of such inmates. One patient file speaks of a school teacher diagnosed with neurasthenia (another turn of the century invention quite similar to "mania". The chief difference was in the fact that mania was mostly ascribed to lower class women while neurasthenia was reserved to middle or upper class women.) which was later re-classified as "Dementia secundaria" who was very intelligent woman who got imprisoned in Stenjevac by her family after supposed extramarital affair in the seaside resort in Opatija. Her story of her confinement is one of the more tragic destinies I have found in my sources. This intelligent woman constantly begged to be released. Her doctors and asylum guards responded to that by tying her up and giving her larger and larger dosed of potassium bromide. Last notes in her patient files report her lying in the corner catatonically or lying in bed and crying. The report written a month before her death of tuberculosis says "There's nothing left of her intelligence and gracefulness..."
Destinies of confined women were always similarly tragic. They are testaments to the era in history of medicine where good intentions of doctors were often subdued by prejudice and poor social conditions of the times.
Sources: "Broadmoor Revealed: Victorian Crime and Insane Asylum by Mark Stevens"
"The Female Malady" by Elaine Showalter
"Keeping America Sane: Psychiatry and Eugenics in the United States and Canada, 1880-1940" by Ian Dowbiggin
Patient files from the archive of Psychiatric hospital Vrapče in Zagreb, Croatia