HI again Sarah
If you look at the web page
http://www.familysearch.org Look at the top of the page and click Search.
Then look at the left hand side at Censuses.
Drop down 1881 British Census and then type in King etc.
You should see Fanny King listed 1st.
Double click her name which will lead to a view showing her name.
Look at the right-hand side and double click Household and this may be your family details.
If so then you will have William/Henry's parents also.
If you already know how to use this site please excuse my instructions.
Best of luck.
Sandy