I know a little:
They had two children, Mary Jane born 1883 and Julia Ann born 1886.
William then died in 1886 and she married William John
Catherwood in 1888.
They had two children, Robert born 1888 and William John born 1891.
In 1901 Esther was a widow, a charwoman at Liverpool Workhouse.
I don't know what happened to the children