actually, its moot if the 'official' 1901 census you quoted has it wrong, or the Ancestry entry (which has mum Harriett shown as Harriet SKeet in their index, altho I think the image looks like Harriet S Kent !)
However, looking at the 1891 census, I think Ancestry was right, as the family show up as Skeats (and another anomaly is that Francis is shown as age 3 or perhaps 5 ....)
Let me know if you wish to pursue it?