Beamur
The concept of UK women being a chattel in marriage was abolished in 1857.
It does NOT appear on marriage registration forms - religious or civil - today.
This is what Citizens Advice say:
"Documents you'll need to give notice
You and your partner will be asked for certain information when giving notice of your intention to marry. If you or your partner are not citizens of a European Economic Area country, you'll also have to submit evidence of your immigration status when you give notice to marry.
Giving false information is a criminal offence. The information which may be required is:-
evidence of name and address
evidence of date of birth
if one partner has been married before or in a civil partnership, documentary evidence that the marriage or civil partnership has ended, for example, a death certificate or decree absolute. Uncertified photocopies are not accepted. A certified copy of a decree absolute may be obtained from the court which decided the divorce. This can take about a week
evidence of nationality.
A variety of documents can be used as evidence of the information required, but a passport or travel document is usually sufficient. You can also use your birth certificate if you were born before 1 January 1983. You should contact the register office where you're getting married for more specific advice on what they will accept.
You can check which type of documents you need to bring with you on GOV.UK. "
Registrars do require fathers' names for both bride and groom - for identification purposes. But that is equal for men and women.
There is NO legal requirement - in church or civil ceremonies - for a bride to be 'given away'. If some brides choose this, then it is entirely at their own discretion.