I think you'll find it is indeed Hutton - her mother Mary's maiden name looks like Hewat.
Found Jeanie on 1871 census in Glasgow with a brother Robert and sister Mary (transcribed as Hulton) - 1881 census states Jeanie born Buchanan, Stirlingshire.
Robert Hutton married Mary Howet 12/5/1831 Kilmarnock, Dunbartonshire - children born Kilmarnock (you can get full dates on familysearch):
John 1833, Margaret 1835, Janet 1837 (died?), Janet 1839, George 1841, Mary 1843, Robert bc.1846 and then Jean (your Jeanie) 7/9/1848 Buchanan, Stirlingshire.
In 1851 Hutton family are at Buchanan, Stirlingshire with all the children mentioned above. Robert senior shown bc.1797 Kilmarnock.
Annette