Quarter Sessions aren't as informative as the Old Bailey, generally. Depends on how much detail the local magistrate had taken down. And they are mostly unindexed.
The documents required would be QSR2/120 & 121, the 1814 Michaelmas Session
This is what you tend to get at that date:
18 Mar 1814 Job Johnson of Towcester shoemaker was upon the complaint of David Dobbs Davies & Richard Webb both of Towcester, yeomen, convicted That on 17 Mar 1814 he did go into a certain Close or inclosed ground situated in Towcester called Cow House Close belonging to John Malsbury Kirby gent & wilfully cut lop top & damage a certain Timber Tree there growing called a Maiden Ash not having the consent of the said John Malsbury Kirby. Job Johnson fined £5 together with 11s for charges & expenses attending the said conviction this being his first offence.
The Assizes take the more serious cases, and those records are at the National Archives at Kew, but only start 1818 for Northamptonshire. Local newspapers would have recorded the trials at a later date, but barely had space to mention the murder and subsequent hanging of Thomas Morris in July 1814 - they were much too busy reporting the Napoleonic Wars.
Northamptonshire Recod Office are short-staffed, owing to the near-bankrupt state of our County Council, which may account for the lack of response.