from T. Allston Brown's History of the American Stage, 1870 (nine years after the citation used by the NGA)
Peppin and Burschard. - Peppin and Burschard, with a French Circus, landed in Boston in 1806, from Spain. They performed in conjunction with West, at Philadelphia. Peppin built the Walnut Street Theatre. Peppin had a thorough military education. He was an officer in the cavalry of France. He was born in Albany. His parents were French. They left Albany for Paris when Peppin was two years of age.
Aside from not knowing how to spell Pépin or Breschard, getting the year they arrived in the USA wrong, 1807 not 1806, Pépin and Breschard together not ever working with West, both Pépin and Breschard building the Walnut Street Theatre in Philadelphia, not Pépin alone, and Mrs. Pépin having never gone to France, I guess the rest of his piece is correct.
For someone who is relied upon as a source for the Smithsonian, getting six facts wrong out of a possible ten is a poor, poor performance.
This is the author the NGA uses to negate Mason, Riggs, and the Museum of Fine Arts, Boston.