Here's their much more respectable career in the South. (Ignore the animal lairs for now.)
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Next stop was the small town of Famorgane, a trading post corrupted by fairy-fruit addiction and de facto ruled by the crime boss Anton. Their adventures there initially got the party two crosses at the top, as they somehow fell in Anton's good graces. But Famorgane became occupied by a holy army during the war with Faerie and Anton has fled, so the party only count on one star there, legacy of a public duel with one of Anton's henchmen.
The larger town of Lugho is a place the party has never been, but due to services rendered on behalf of the Duke and Hierarch of the place, they enjoy two forward slashes (beneficial deeds) and one cross of high-level influence.
Schiecchi is the city of the region. It's harder to get fame there, but due to some carousing and a noteworthy incident in which the party's hermit prophet impressed a rich woman with her generosity, they are on one star. They also have a connection with the influential white magician Ulena, hence the one cross.
Finally, they are undoubtedly in the bad books of the faerie lady of the Vernal House for stealing away her mesmerized bard lover. Perhaps there should be "X" 's on top for enmity instead of influence with the ruler? At any rate, the whole house will be talking about the raid for years to come, so three stars.
The passage of time, and normal social forces, can alter the ratings. For example, fame can spread to settlements of equal or lesser size. If they do something that gets them two stars in Schiecchi, Lugho will almost certainly hear of it.
Influence can also spread, following political lines. The famous deed against the interests of the Vernal House will certainly cause enmity among the House's allies, and may even gain the party good will among its enemies. This is what happened in the north, as the warlord Hugo became friendly to the party largely because they were causing so much havoc among his rivals.
And of course, if enough years pass, fickle fame will fade from memory; but the party's roots, influence and deeds will live longer.