Susan Knobel, who for more than a year has sought permission from the East Hampton Town Trustees to move her house from a severely eroded shoreline at Lazy Point in Amagansett, had reason to celebrate on Tuesday night. The trustees, who have debated the request while often asking for additional information, voted to authorize Ms. Knobel to apply for the variance relief that she will need from the East Hampton Town Zoning Board of Appeals to relocate her house to nearby lots that are at a higher elevation.