Hello,
Here is Hester/Esther Southwell in 1871
Piece:1204/folio 119/11
5, Shootash, East Wellow, Hampshire
George Southwell 49 yrs Wood Dealer b East Wellow
Sarah Southwell 45 yrs
Martha Southwell 21 yrs
George Southwell 12 yrs
Esther Southwell 5 yrs
Walter Southwell 1 yr
In earlier censuses, his mother Hannah is with the family. She is born in East Wellow too.
George was baptised in 1822 to Joseph and Hannah. So the family are in that place before 1822.
There is a marriage for Joseph Southwell and Hannah Long in E W 1798.
They family don not seem to be Irish or of the travelling community - unless they were settled for a very long time.
Heywood