Christopher Payne and François Linke's grandson, Gaston Pierquet.

Gaston is seated at his grandfathers' desk or bureau plat, used by Linke in his private apartment at 32 Quai Henri IV, in Paris overlooking the Seine.
The desk, made in the manner of the late Louis XIV period popular in the early eighteenth century is index number 133 in Linke's extensive inventory. The design was popularised by Linke almost two hundred years later, so much so that he allowed copies to be made by other furniture makers, a right that was abused by one maker in 1911. (François Linke 1855-1946 The Belle Epoque of French Furniture pps. 438 - 439).
The desk and the bookcase behind are illustrated on the back cover of the book (and as plate 516 on page 438).