[2] Walter was returned as Member of Parliament for Appleby at a by-election on 13 December 1694 on the interest of his uncle Thomas Tufton, 6th Earl of Thanet.
He was one of a group of wine-bibbing Tories who came together under the Duke of Beaufort's lead in July 1709 to establish the ‘Board of Brothers’.
He was a High Church supporter of Dr Sacheverell, and voted against his impeachment early in 1710.
He voted against the Administration in every recorded division [4] Walter was a bon viveur who enjoyed drinking (particularly fine French wines), smart fashion, gambling and horse racing and was a popular socialite.
The baronetcy became extinct in 1731 when Sir Robert died childless, and the estate then became caught up in a protracted Chancery suit.