I don't know if the sketchy information I have may be the family you are looking for but here goes:
Joseph Goldthorpe born about 1858. Married Elizabeth Harrison.
Lived first at 6 Rose and Crown Yard. Worsbrough near Barnsley then at 3 Green Row. Worsbrough.
Mary Ann born around 1880 Joseph born around 1882 Sarah born around 1885 William born around 1890 George born March 1901 - my grandad. There should be a Fred and Arthur in there somewhere but I have no record of them and am going by what I've been told. I don't know anything else except that I was told that Fred died in the First World War.
There were also other Goldthorpes living in Worsbrough at that time so they probably are all related.