Thee as in 'Sit thee down' is definitely still used in the Potteries (N.Staffordshire).

Although I can't 'do' any of them - I can HEAR 8 or so variations in potteries accents.
Some areas use 'SUT' as in 'I was sut down' tr 'I was sitting down'.
' It's just thee & me' is often used in industrial N.Worcestershire -
Greg - is 'Arfur towk rate in staffycher' (or summat like that) still available ????