Mr. Miller, 43, died on July 3 at a Southampton hospital. A suicide note indicated he had killed himself while his wife and children were on vacation on Italy’s Amalfi Coast, according to a Suffolk County law enforcement official. He said Mr. Miller wrote that a business deal he had hoped would ease the family’s financial strain had collapsed.

His family was stunned. When Ms. Miller was contacted for comment, a family spokesman said she and the children were overwhelmed by grief. “Candice is devastated by the loss of her soul mate, and her two young daughters’ lives are forever impacted by the loss of their beloved daddy,” he said.

The Millers’ downfall has become the focus of obsessive talk in the Hamptons and among internet sleuths who have scoured Ms. Miller’s social media presence for clues to what went wrong.

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