A mint-mark is the mark put on the coin to indicate the Mint, that is, the city where the Mint is located.
A mint master's mark is the personal mark of the mint master

During the Kingdom of Holland under Louis Napoleon 1806–1810, all Mints were closed and the Utrecht Mint was maintained as the central Mint. The city shield was used as mint-mark (only on the older, provincial type of coins)

Gideon Jan Langerak du Marchie Sarvaas (1806-1810 and 1810-1813), who had been provincial mint master in Utrecht since 1797, remained in office during the French period and even after the French period in 1813-1814. During the provincial times he did not use a mint master's mark. During the Kingdom of Holland that became a bee.

a) Old provincial type coins
Mint: Utrecht
Mint-mark: city coat of arms
Mint master : G. J. Langerak du Marchie Sarvaas
Mint master’s mark: none

b) New type coins of the Kingdom of Holland
Mint: Utrecht
Mint-mark: none
Mint master : G. J. Langerak du Marchie Sarvaas
Mint master’s mark: Bee