(I am making the assumption that you will simply travel west, day after day, until you reach someplace, so I will just describe your travel until something happens. Please let me know if this is an innapropriate assumption)
The first day of travel passes without events of much significance. You pass several other travelers going the other way, mostly commoners. At one point you have to stand aside as a lone rider gallops past you, traveling west. The weather is pleasent, and the air does not chill overmuch as twilight nears.
You set camp and spend some time getting to know each other better as you eat. You have no tents, but it is not cold and the ground is dry so you simply lay out your bedrolls for a well-deserved sleep, posting watches as you have discussed.
The night passes uneventfully, though several of you have dreams of future glory, fame, or wealth, inspired by your new occupation and the excitement of your first quest.
The new day dawns much the same as the first, and you strike camp and head out.
The farms are become fewer and further between, and patches of trees and wild land are becoming more and more frequent. It is late morning when you hear shouts from the side of the road.
A lone farmer, looking like he must be about fifty years old, is waving both hands and running towards you, shouting. When he gets close enough to hear, he says, "Leapin' lizards! I know not who ya folks may be, but ya looks like yer some tough fellas. I know I'm takin' a chance, and ya might jus kill me an' burn down me farm for botherin' ya, but I got me a problem, and unless somebody helps me, I won't be able ter do any work aroun' here!"
He looks hopefully at your party, wringing his hands pathetically, waiting for you to stop or respond in some way.