Sorry, Chrissy, just realised you haven't yet seen the Livingston/Hanson 1851 transcription. Here it is:
Hugh Livingston 36, Woollen Weaver b. Blackburn, Linlithgowshire
Catherine Livingston 34 b. Tillicoultry
Hugh Livingston 14, Woollen Piecer b. Glasgow
Robert Livingston 11 b. Glasgow, Doing Nothing....

Margaret Livingston 8 b. Glasgow, Doing Nothing
Catherine Fleming 6 b. Tillicoultry, Doing Nothing
Agnes Livingston 4 b. Blackburn, Linlithgowshire, yep, still doing nothing!
Isabella Hanson 17 Winds Yarn, b. Dundee
William Hanson 15, Woolspinner b. Dundee
Cecilia Hanson 15, Woolpletter, b. Dundee
Agnes Hanson 13, Woolpeicer b. Dundee
Mary Hanson 11, b. Dunblane, Perthshire
Address: Coalsnaughton, Tillicoultry
The transcript as you know shows the Hanson children as sons/daughters and the two names Livingston and Hanson are used. This is the area where the transcript has probably made errors in what it shows.
Monica