I don't know how reliable this is but Encyclopedia Titanica gives Katherine Gold's maiden name as Cook
Here's another article from
http://www.fhindexes.co.uk/samples/titanic.pdfthis is some of the info. from the article
Mrs Catherine Cook apprentice
dressmaker, known as Kate born
1869 Woolwich, living Burton 1881 with
Benjamin Cook or Cork who it would appear was a
cousin.
Members of her family settled in Burton including
her sister Mrs Windmill & her brother.
She moved to Liverpool entered service for White Star Line and
married Mr J Gold he died turn of the century.
Mmm...am I reading this correctly - please correct me if I'm wrong

If Kate Gold nee Cook was the cousin of Benjamin Cook/Cork she can't be the sister of Annie

Perhaps they brought up Kate as their own daughter

I wonder what the initial 'J' stands for in Mr J Gold
1901 RG13; Piece: 2646; Folio: 148; Page: 24
Joseph
Windmill 32 Walsall
Annie E 30 Alderney C.I.
Herbert A 9 Burton
Percy E 6 “
Harold H 4 “
Clarence V 2 “
William H
Corke brother in law 24 Burton on Trent
At the moment the only marriage I have found was the one I posted earlier
Jane Kate Coulson to John Hannah Gold 
Lancashire BMD John H Gold & Jane K Coulson 1892 St Paul's Southport
for info. here she is on 1891 census with her mother Priscilla & 1901c with husband John Hannah Gold looks as if he died 1949 age 89 Liverpool John H Gold (b1868)
1901c
John H Gold 33 Salford General Furnishing Commercial Traveller
Kate 31 London
1 servant
1901 RG13; Piece: 3538; Folio: 38; Page: 25
Priscilla Coulson widow 69 Bath Sick Nurse
1891 RG12; Piece: 3037; Folio: 133; Page: 35
Priscilla Coulson widow 59 Somerset Bath District Nurse
Jane K Coulson 24 Woolwich Dressmaker
1881 Southport Infirmry & Dispensary
Priscilla Coulson Widow 44 Bath somerset Night Nurse
I have eliminated Kate Coulson. I actually sent for her birth certificate.
Her father was Charles Coulson Mother was Priscilla Coulson of 80 king Street Woolwich.
Kate was born on 19th April 1866. in King Street Woolwich
Going back over your thread I see from your reply you have already eliminated this Jane Kate Coulson b1866