Further to the Ancestry criminal record above, it's definitely your Mary Ann Smith (see below)!
There are quite a few pages, including prisoner photo, full Medical History Sheet, and a record of her letters sent and received, etc.
It appears Mary Ann also had 22 summary convictions for drunkeness, etc. At the time of her 1883 conviction, she was pregnant.
Here are some additional details:
Medical History Sheet (dated 1883) indicates she was born in Manchester, and was 24 years old.
Married with 2 children. [That must be Susan and a son named "James" who died in 1885, according to one of the letters she received in prison].
She'd been in Millbank via Strangeways circa 1883.
Later she was confined in Fulham Convict Prison. Then she was to "repair forthwith to the East End Refuge, Finchley".
"Removed to East End House, Finchley, on conditional license 12 Jan 1886, for friend Mrs Elizabeth Jones, 4 Duke Street, Salford". NOTE: Elizabeth Jones (age 40) is living at this address in 1881. She's from Birmingham.