"In the style of the mountaineer." The foods most easily produced at higher altitudes are root vegetables, which are improved by being frosted, so dishes alla montara will often include root vegetables.
"In the style of the miller." Normally applied to fish, especially sole, dusted in flour and then fried in butter, with lemon and parsley.
"In the style of Naples." A sauce of fresh tomatoes, herbs including garlic, onion and olive oil. It may also included minced (US: ground) meat or salami. It is commonly served with pasta and grated cheese. I have also seen descriptions of dishes alla napoletana containing anchovies and prosciutto.
"In the style of Norcia" in Umbria, likely to mean that a dish contains pork as the town is particularly renowned for the beautifully prepared pork products. It generally refers to a sauce of crumbled sausage with chillis, or containing truffles, served with game or other meats or with pasta.
