BATAVIA â Only three active COVID-19 cases were reported Tuesday in Genesee, Orleans and Wyoming counties. The counties reported one apiece, with few new cases reported. The numbers of people vaccinated also continue to rise slowly. Hereâs a county-by-county look at the data. n Genesee County â Genesee County reported 121 cases tested Monday with no positives, with an overall total of 5,349 cases since the pandemic began, according to state health department data. The number of active cases dropped to one. Total recoveries increased by one to 5,223. New York state data indicated Tuesday that 28,519 or 49.6 percent of Genesee County residents have received at least one vaccine dose; 26,563 residents have completed the vaccine series, according to the stateâs COVID-19 vaccine tracker