Hi I have had a look at the 1861 census and Harriet is not with her brother Joseph in Tetbury!
1861
Joseph Vick, age 42, cooper born Tetbury
Eliza Vick, age 43 born Lechlade
James Milsome, age 29, cooper, born Tetbury
RG9 1780
folio 42 page 31
Tetbury Glos
and the 1871
Joseph Vicks, age 52, cooper born Tetbury
Eliza Vicks, age 54, coopers wife, born Lechlade
Harriet Rees, sister, widow, age 49 born Tetbury (blind)
Henry Hayes, apprentice, age 19, coopers apprentice born Wiltshire
RG10 2643
folio 59 page 31
Tetbury, Glos
Nicky