The New York, New York, U.S., Index to Death Certificates, 1862-1948 (per AncestryLibrary) includes a David Rosenberg. with details that include:
Age: 88 -- Birth Date: abt 1835 -- Birth Place: Russia -- Death Date: 17 Feb 1923 -- Hospital: Montefiore Hospital -- Death Place: New York City, Bronx, New York, USA -- Burial Date: 18 Feb 1923 -- Burial Place: MT Zion Ceme -- Father's Birth Place: Russia -- Mother's Birth Place: Russia -- Father: Jacob Rosenberg -- Mother: Tobe Rosenberg
One of the 1907 Obits for his mother, in that one named "Mrs. Tobey Rosenberg" https://www.newspapers.com/clip/87122782/tobey-rosenberg-died-1907/ mentions her husband's death, then says "Seven sons survive them, the oldest, David, being 81 years of age."
1907-81 = 1826
The Obit for Meyer E Rosenberg in 1920 says he was survived by five brothers, and the first listed is "David of New Jersey" -- if this is not the David mentioned there, then who is?
Were they off by a decade in Tobey's obit -- or in David's death record?