Jay Johnson and Nini Ferguson in Nantucket, where they got engaged on July 4th. (Posie Constable)

Engaged: Jay Johnson, 65, and Sydney “Nini” Ferguson, 54, July Fourth in Nantucket. He’s the retired four-star admiral and CEO of General Dynamics. She’s part of SNR Denton’s Global Energy team, an A-lister in Washington’s social and charitable circles, and one of D.C.’s most eligible bachelorettes. Second marriage for both: Johnson and his wife Garland divorced in February, as we reported last week. No date set for the wedding.