Smith succeeded to the peerage on the death of his brother, Francis Smith. A Catholic who was already advanced in years, he was unable to take his seat in the House, and he appears to have exercised little political influence during his brief tenure of the title. On his succession to the peerage he came into the majority of the Warwickshire estates, with the exception of Shottery and Baginton, but these appear to have been seriously depleted before he inherited the barony. Of the remaining family lands, the 2nd baron had left the manor of Ashby Folville in Leicestershire to his widow, Anne, dowager Lady Carrington.
Carrington appears to have suffered from poor health and within a year of inheriting complained of pains in his head and stomach.
