Company & society

"Always liked Lombardies," said Captain Jim, waving a long arm at them. "They're the trees of princesses. They're out of fashion now. Folks complain that they die at the top and get ragged-looking. So they do--so they do, if you don't risk your neck every spring climbing up a light ladder to trim them out. I always did it for Miss Elizabeth, so her Lombardies never got out-at-elbows. She was especially fond of them. She liked their dignity and stand-offishness. THEY don't hobnob with every Tom, and Harry. If it's maples for company, Mistress Blythe, it's Lombardies for society."

How to understand "company" and "society" in the last sentence?