Sign up for our COVID-19 newsletter to stay up-to-date on the latest coronavirus news throughout New York Town of Hempstead Supervisor Kate Murray, a Republican, speaks to supporters following her big win. (Christopher Twarowski/Long Island Press)Two incumbent Republican supervisors in Nassau County cruised to victory Tuesday night, while residents in the Town of North Hempstead replaced their departed Democratic leader with another.Town of Hempstead Supervisor Kate Murray, a Republican, was re-elected with 67 percent of the vote, according to unofficial results. Republican Town of Oyster Bay Supervisor John Venditto earned 70 percent of the vote to trounce his Democratic opponent John Capobianco.Democrat Judi Bosworth, a three-term Nassau County legislator, surged to victory in the Town of North Hempstead, beating out her Republican opponent Dina Degiorgio by nearly 10 percentage points. Bosworth ran for the vacant seat left by Democrat Jon Kaiman who left office in September after Gov. Andrew Cuomo appointment him chairman of the Nassau Interim Finance Authority. Kaiman is also charged with spearheading Superstorm Sandy recovery efforts for Long Island.“This is a reaffirmation [by] the residents of Nassau who understand that good Republican government built this county and these beautiful towns,” Venditto told supporters in Westbury Tuesday night.“What a great night it is to be a Nassau County Republican!” Murray boomed to the crowd.Venditto was first elected supervisor in 1998 after previously serving as town attorney and town councilman.Murray took office in 2003 and became the first woman to get elected to Hempstead Town’s top office.