If you are experiencing numbness on the right side you require an immediate evaluation by a stroke treatment facility (in other words a neurological evaluation by a neurologist and not a G.P.) and an MRI as well as an MRA. If you suspect you have had a severe infection in the gums that may have spread to the bloodstream you also need a two-part ultrasound of the heart to determine of bacteria have settled on the heart valves. The most common etiology of a stroke secondary to dental infections is to have the bacteria colonize on a heart valve, where they throwoff filamentacious matter that blocks blood flow in the brain.
There is a school of thought that if infection from dental work gets into the bloodstream, a person can wind up with a minor stroke, which one of the symptoms is your one-sided numbness. However, you can get physical therapy where you can regain normal use of the side affected.
I do not know if antibiotics given at dental clinic prevents this chance of minor stroke thing or not, but I wish I did know. I went to a county dental clinic to keep costs down, and a couple times I asked for antibiotics since the tooth they were going to pull was swollen up big and I knew it was infected. They refused. As a result, I wound up with adenopathy in my armpit, which is a collection of infection, and the lymphs there hurt just like the ones can hurt in the neck. Whether it was from dental infection, I do not know, but I suspect it.
I am not litigious so I did not make a big stink about it and besides it did not irreversibly harm me, just as you have some numbness that should not irreversibly harm you. So, visit your regular doc, ask him if he can recommend physical therapy for your numbness with people who are expert in treating stroke patients, and you should recover pretty quickly, but the sooner you get help the better your result chances.
But to answer your question for sure, some people think some dental infections can cause a minor stroke, especially in people who have some history of heart type problems (which you're supposed to tell the dentist), and yet, on the other hand, some people do not think dental work causes any such a thing. I personally think PAIN and STRESS can cause the heartbeat to go waaaay up, and THAT is what can cause a minor stroke.