I am a total newbie to sterling silver but have tried to decipher the marks on this old shaving brush ...

Using information found here and on another site or two, I believe the marks below indicate the brush was made in Birmingham in 1830 but would sure appreciate confirmation by someone who is knowledgeable.

There is also a mark on the opposite side of the tube from those above and I wonder if it might be a maker's mark ...

Any help would be greatly appreciated. Many thanks!