I can’t say that I use reflexology for vertigo because I use a physiotherapy technique for mine when it acts up (benign paroxysmal positional vertigo) called the Epley maneuver and is effective within 20 minutes. There are several kinds of vertigo, caused by different things therefor there are more reflexes involved than this. However, these are the key reflexes that reflexologists associate with vertigo in general.
I work with the foot but during the pandemic I decided to explore the hand as it is easier to convey the key reflex points on an image, and closely mirror the foot. The hand is easier to manipulate when self-treating. But that shouldn’t stop you from exploring your own feet. I won’t promise anything but if you are feeling explorative and are dealing with some unbalances, why not press on these reflexes and see if anything comes out of it. Nothing to loose right?
There are many studies found on Google Scholar that indicate that reflexology is most effective for managing stress and pain (what I use it for) however if one of these factors is causing an imbalance of the equilibrium, then it might be a good thing to try for calming things down. This chart is very similar to the reflexology for stress except that it swaps the eyes for the ears.