There has been some migration from smaller towns to bigger cities because of economy.
There are four Nestorenko's listed in Sumy, regional capital.
НЕСТОРЕНКО Е.П. 25-80-71 ЛЕВАНЕВСКОГО
НЕСТОРЕНКО Н.Н. 24-05-70 КОВПАКА
НЕСТОРЕНКО Г.Д. 32-53-78 М.ЛУШПЫ
НЕСТОРЕНКО А.Н. 36-02-97 ЗЕЛЕНКО
Also consider contacting this women's organization and ask them to look up Nesterenko surname in local Telephone Directory for Romny.
Egida Women's Club
Boulevard Shevchenko 65
Romny 42000, Sumy Oblast