Could this be Ann?
Datewise, Ann is boxed in between 2 baptisms - with birthdates in july 1834 (this, Illegitimate) and nov 1835 (sister Margaret)

WHO IS THIS?
England & Wales, Non-Conformist and Non-Parochial Registers, 1567-1970 for Mary Madgin
RG4: Registers of Births, Marriages and Deaths Cumberland Primitive Methodist Piece 0856: Nenthead Chapel, Alston (Prim. Methodist), 1825-1837; image 25 of 36 @ancestry
Source Citation: The National Archives of the UK; Kew, Surrey, England; General Register Office: Registers of Births, Marriages and Deaths surrendered to the Non-parochial Registers Commissions of 1837 and 1857; Class Number: RG 4; Piece Number: 856
Name: Mary Madgin, female, ILLEGITIMATE!
Birth Date: 16 Jul 1834
Birth Place: Alston, Cumberland, England
Event Type: Baptism
Father: Leonard Madgin
Mother: Ann Hanison
Baptism Date: 28 Sep 1834
Baptism Place: Cumberland, England
Denomination: Primitive Methodist
Piece Title: Piece 0856: Nenthead Chapel, Alston (Prim. Methodist), 1825-1837