Sarah Agnes Bingley or Hart

[ElizabethHerts]

I'm trying to do a tree for a DNA match with my OH.

Sarah Agnes B Hart married John Thomas Coates in Q1 1904 at Grimsby, Lincolnshire.

1911 Census:
https://www.ancestry.co.uk/imageview...3?pId=26064212

She says she was born at Sheffield. Online trees say she was born in 1880.

I couldn't find a registration for her in the name of Hart but then I found Sarah A Bingley born Sheffield at Grimsby in 1891:

https://www.ancestry.co.uk/imageview...5?pId=19520279


Then I found this birth registration:
BINGLEY, SARAH AGNES - GRO Reference: 1883 S Quarter in ECCLESALL BIERLOW Volume 09C Page 360

How does she tie in with the Burnett family?

Now I think I have found her here with Elizabeth Burnett as a daughter in 1901.
https://www.ancestry.co.uk/discovery...=successSource

I'm confused - where is the Bingley and Hart connection?