BATAVIA â Although overall numbers remain low, the number of active COVID-19 cases in Genesee, Orleans and Wyoming counties continues to increase. The number of active cases in the three counties increased to 20 on Thursday. That compares to six active cases last Friday. Hereâs a county-by-county look at the data: n Genesee County â Genesee County reported 127 cases tested Wednesday with one positive, with an overall total of 5,449 cases since the pandemic began, according to state health department data. Five active cases were reported. Total recoveries are at 5,228. New York state data indicated Thursday that 29,073 or 50.6 percent of Genesee County residents have received at least one vaccine dose; 27,280 residents have completed the vaccine series, according to the stateâs COVID-19 vaccine tracker