There is a long article in the Lancaster Gazette, Saturday, July 7, 1838 about "an affray with Police at Ulverston" involving Thomas and Margaret PARK and John, Betsey and Joseph ATHERSMITH. John is described as an "old man". (They were found guilty except Betsey, and sentenced to one and three months prison.) Probably the item mentioned by Rosie above. Is this your family? I can send you a copy of the article if you'd like.
Modified to add:
And a description of the "affray" in the Westmorland Gazette, Saturday, June 2, 1838