Can you give us more info about the Goddards, eg where did they live? Where did you find the information about their deaths?
There is a burial on the Notts FHS CD for Enock Goddard age 70, of Washington St, Notts StMary, buried on 16 Nov 1834. Obviously this would not fit with a death in the previous May! - so may not be the right person. I can't see any burial for Enoch jnr. in 1834 (or indeed at any other time). There's nothing in the online BL newspaper archive about either death but I can see a death notice for the wife of Enoch snr, Hannah, in 1847.