You could do things like looking the name up on Wikipedia. So for anemone, it says "Greek anemone means "daughter of the wind", from ánemos "wind".
That may, or may not, make the name easier to recall. Does the plant look wind-blown. I don't know.
But in that case the common name (anemone) is the same as the 'Latin' name.
We really ought to speak about 'botanical name', because in that case the botanical name comes from Greek, not Latin.
It's possible that Wiki doesn't have the meanings of all plants. But they all will have a meaning. We will know what they are, even if Wiki does not.