Trumpeter Maurice Brown is undeniable. He can blow. Consider this—the only names to appear weekly on Snug Harbor’s schedule are Marsalis and Neville (Ellis and Charmaine, respectively) and Maurice Brown. That says a lot in this musical town.

On a national level, the 23-year-old Chicago transplant has already racked up impressive credentials playing and recording with legendary jazz veterans such trombonist Curtis Fuller and fellow h...