For Alnwick head to the town centre,there is an industrial estate to park,then walk to the Oaks hotel for a roast dinner for £8,from 17.00 to 19.00 special menu offers,local ales are £3 a pint,good ambience and atomosphere,the night i was there a funeral party was very merry morning the loss of an old boy.
You can walk to town for Italian restaurants and take a ways.
For Wigton,pass the Innovia plastic factory,turn in to the old windmill,free to park,by the fire station,at the Chinese restaurant for £5.99 you get a good meal from 17.00 to 19.00,with many choices.
Mind the low bridge,and the 8 am to 18.00 hgv restriction for the town centre.
the yard at the old windmill in wigton belongs to local outfit D A harrison, they dont mind some locals or a few known regulars stopping there if going to innovia, for anybody else i think it would be rude not to ask first, let alone tell the world and his mate to park on private property.