We were an early adapter, but mostly only in the coal fields. There aren't deep mines till later in the 16th century, and they're more bell pits and admits than the mines of the 19th century. Plus it was difficult to transport. I don't know much about when the Kent coalfield was worked, which would have been closest, but still not that accessible for West Sussex.
Plus problems of wood supply are not too much of an issue till into the 16th century. I am happy to be proved wrong, (i will akways read about the history of coal,) but while we were early adopters, I don't think most households would have regularly been using coal until rather later than 1461.
(Having peasantry which can be more mobile, rather than tied to a particular place through serfdom, as in much of Europe, is among the reasons why industrialisation comes first to Britain , so thank you Wat Tyler and Co. But it's still not until later.)
Also, if you were living all year round, you'd harvest anything like soapwort at the right time and save it, so you might have roots stashed. It can get invasive, so digging it up wouldn't necessarily be an issue.