It's common in English writing to interject additional details in on a noun by using a phrase separated with commas. I've personally found Oxford commas can in certain cases make it unclear whether you're interjecting or not, like so:
Alice, the cook of the house and the guest were very chatty that evening.
Alice, the cook of the house, and the guest were very chatty that evening.
In the second, is Alice the cook of the house or not? This is the ambiguity of Oxford commas.
If you’re one to omit the Oxford comma in your writing, then how do I resolve the ambiguity in your first example?