If an elderly person has gotten the pneumonia vaccine does that give them any protection from coronavirus pneumonia?

It works indirectly.   It provides protection from getting bacterial pneumonia. Having bacterial pneumonia makes a person far more susceptible to viral pneumonia as a secondary infection or as a result of scarring in the lungs.  

Wait a minute, you claim to be a retired Air Force Nurse and don't know the difference between bacterial pneumonia and viral pneumonia?  A pneumonia vaccine like Prevnar 13 or Pneumovax 23 protect against bacterial infections.

"Prevnar 13 and Pneumovax 23 are both brand-name vaccines. Prevnar 13 is also known as pneumococcal 13-valent conjugate vaccine injection (or PCV13)—it protects against 13 different types of pneumococcal bacteria. Prevnar 13 is injected IM (into a muscle).

Pneumovax 23 is also known as pneumococcal vaccine polyvalent injection (or PPSV23 vaccine)—it protects against 23 types of pneumococcal bacteria. Pneumovax 23 can either be injected IM or SQ (subcutaneously, or under the skin)."

https://www.singlecare.com/blog/prevnar-13-vs-pneu...

Most folks are not aware that the Pneumovax (pneumonia shot) that folks over 65 get protects against a specific type pf pneumonia; pneumococcal pneumonia.

It is an overwhelming infection that is pretty severe to those at risk. 

It does not prevent other types of pneumonia.

I doubt it, I had this vaccine in the U.K. and 2 years later I got pneumonia.

No not all all. The pneumonic is against pneumococcal bacteria, nothing to do with other causes of pneumonia, which is a generic term