I did a quick search for ESR and the Westergren method. From what I've found, the higher the level the more sediments are in the blood, which makes the blood heavier and therefore falls faster. Abnormal proteins or immunoglobulins cause inflammation that may be associated with Rheumatoid arthritis or lupus (which is scary) - or an elevated reading could just mean you're fine and have the distinction of getting older.
Depending on what they are being tested for is how I would gear their diet and supplement regimen.
As for this age thing... Well, I KNOW I don't eat or drink the same way as when I was in my 20s! My diet, exercise, and vitamin needs sure have changed through the decades.