Plans by Swampscott and Woburn to replace or overhaul aging elementary schools were recently advanced by the state funding agency.

The Massachusetts School Building Authority board voted to help fund a feasibility study into the facility needs of Swampscott’s Hadley Elementary School, and at its same meeting last month accepted Wyman Elementary School  in Woburn into its eligibility period, the initial phase in the agency’s funding pipeline. The vote begins a 270-day period during which the district must meet preliminary requirements to become eligible for the feasibility study phase.