I'm not familiar with, "take its toll from", but, "take its toll on", is common. A toll is a charge - something that one has to pay. For example, in the US there are some highways that can only be used if you pay a certain amount of money. These are toll highways. If a person works hard in the summer heat, they may become overheated - this is the toll that they pay for working in the heat - the heat takes its toll on the worker.
You could work, "takes its toll from", into a sentence - The grinding mill takes its toll from the farmers. This does not indicate that this phrase is common.