Final answer:
Lopakhin's signs of not being born wealthy are seen in his deference towards the well-born, his previous financial struggles, and the contrast between his past and his mannerisms among the wealthy elite.
Step-by-step explanation:
One sign that Lopakhin was not born wealthy is his poor man's deference toward the wealthy and well-born. This character trait reveals his background and upbringing that can be contrasted against the nouveau riche status he may have acquired later in life. The reference to trading in eunuchs as a way of recovering his credit and the mention of his estates being mortgaged to his brother are strong indicators of his financially humble origins.
Additionally, the statement that he came back none the richer and his struggle to fit in with the new businesslike working-class elite suggest that despite any economic gains, his social mannerisms and previous financial strains remained apparent characteristics of his persona, setting him apart from those of wealthy stock or those accustomed to the power play of affluent circles.
Moreover, Lopakhin's situation is not unlike that of Kalinin, who despite representing the peasant class in Bolshevik governance, still retained distinct connections to his roots as seen in his frequent appearances in peasant dress or at peasant-associated venues, thereby preserving elements of his less affluent background.