Proponents of a bill that would legalize same-sex marriage in Illinois said Monday the state’s Senate Executive Committee will consider the measure at a Tuesday hearing, the very first working day of the Senate’s new session. Activists, sponsoring legislators and other proponents have wasted no time to push the bill forward in the new session of the legislature after the clock ran out on an earlier effort during the lame duck session in January. The hearing will take place at 1 p.m. Tuesday in room 212 at the State Capitol Building in Springfield. Sen. Heather Steans, the bill’s chief sponsor in the Senate and Rep. Greg Harris, its chief sponsor in the House — two Chicago Democrats — expected swift movement on the bill since last month and many advocates working on the bill said the earliest it could be considered in committee is Feb. 5. That day has almost come. Anthony Martinez and Rick Garcia of the The Civil Rights Agenda said the bill will likely pass through the committee on party lines.