The grey Ford Puma, registration number EN 51 ZNK, and a blue Subaru Impreza, registration number S375 RHH, were taken from a house in Hoarstone Avenue.
Marie and Wallace Snade, Hoarstone Avenue, Whitestone, Nuneaton.
The incident was at about 5pm on Thursday in the Whitestone area, near Bulkington Lane and Hoarstone Avenue.
Cllr Colledge, who was 59, died suddenly at the weekend at his home in Hoarstone Avenue, Whitestone.
He has lived and farmed at Hoarstone, near Welshpool, for 47 years but has never benefited from funding through existing or previous agri-environment schemes.
Cllr Colledge, who was 59, died suddenly at his home in Hoarstone Avenue, Whitestone, in March.
