David
I am so sorry that I am only now returning to your question after seven years! I had thought this matter had been completed! I have searched for James on and off over the years, and I have traced his death in Winwick in 1835 aged 61. This puts his birth in 1774. However, I have searched diligently for a James Farrington born around that time but so far I have not found a convincing person who fits well.
Regarding your question, yes his widow is on the 1841 census with two sons, Thomas and James.
In 1851 she is living with Thomas and his wife Rebecca. In 1861 she was alone, and died in
1863 aged 85. Her maiden name was Goode, born in Sawtry. She remained throughout in Winwick.
Regards,
Alex