As Queen of the West says, you will not find a marriage record from 1829 that shows her father's name, unless they were married by licence which may mention her father, but I can see nothing that says they were married by licence.
There is a Harriet Kemp baptised 7 August 1814 at Stoke on Trent, less than 2 miles from Stoke centre. Parents William and Ann. She would have been born before this date of course.
She may not have known exactly when she was born - many people didn't before the advent of Civil Registration, or she added a few years onto her age to be able to be married.
When was her first child born?
William Kemp married Ann Towens 1802 Stoke on Trent.
All these on findmypast. I've only looked at the transcriptions. There may be other snippets of information in the actual registers, like their place of residence.
There is a burial of a William Kemp 1845 Stoke. There is also a will for him. Also on findmypast.
It would be worth looking at William's will to see if his daughter Harriet is mentioned - hopefully under her married name. He may also mention any children of her's - they would be his grandchildren.