Hi from a very green newbie

I wonder if anyone could possibly advise me please on how to progress with a search I am doing on a Jane Edwards who was born in Llanbadarn Fawr in approx 1861 (according to the 1891 census data).
She married Benjamin Cozens in 1886 in Middlesex and was residing in Battersea in 1891.
From her marriage certificate it seems that her father was called Hugh and was a farmer, although he was deceased at the time of her marriage. Although I have trawled through census data online, I don't seem to be able to find a household in 1861 and 1871 with a father called Hugh Edwards who was a farmer and a daughter called Jane, so I am not sure how I can go about finding more information on her.
From family memories (not sure how accurate these are, though) Jane became a teacher and had a brother called Thomas Hugh Edwards, who might have 'worked on ships/in shipping'. We think she died in or around 1897.
If anyone could please advise me how to move forward, it would be much appreciated.
Many thanks in advance