The Dukes County commission agreed this week to sign a letter of support for the Martha’s Vineyard Hospital’s project to build a new nursing home in Edgartown.

Intended to eventually replace Windemere, the Navigator Homes green house project is planned for a piece of land off the Edgartown-Vineyard Haven Road recently acquired by the hospital.

The project is still in the earliest stages of permitting before the town and the Martha’s Vineyard Commission.

The plan envisions five shared living houses with 14 residents each, in addition to 70 units of workforce housing.

“Part of the ecosystem for taking care of people is housing staff,” Navigator Homes president David McDonough told commisioners at their meetng Wednesday.

In other business, county manager Martina Thornton gave an update on cleanup efforts at Eastville Beach, following a recent letter of complaint from Leo Convery, whose family donated the beach for public use many years ago. Ms. Thornton said the county has cleared up some of the issues raised by Mr. Convery.

Commissioner Tristan Israel said there was formerly a memorandum of understanding for shared maintenance among the county, Oak Bluffs and Tisbury — who each control a portion of the beach. Mr. Israel said the plan has evidently not been followed.

“It seems that in the end it comes back to the county,” he said.

 — Aidan Pollard