I think the Brotherton family is the wrong family

I have since found the following baptisms -
Name: Thos Stead
Birth Date: 2 Dec 1800, Middleton Baptism Date: 18 Jan 1801
Parish: Rothwell, Holy Trinity
Father's Name: Matthew Stead
Mother's name: Rose Stead
Thomas' parents names are same as two of his children so this could be more than likely the correct one
Name: Matthew Stead
Parish: Thorner, St Peter
Baptism Date: 23 Nov 1823
Father's Name: Thomas Stead, cordwainer, Thorner
Mother's name: Ann Stead
Name: Rose Stead
Birth Date: 26 Jun 1830 Baptism Date: 8 Jul 1830
Parish: Chapel Allerton, St Matthew
Father's Name: Thomas Stead, shoe maker, Moor Allerton, Leeds
Mother's name: Anne Stead
How have you determined that Thomas married a Ann Ellis?