Charles William Andrews commenced in business at 6 Great Winchester Street in 1882.

In 1891 the firm opened a factory in Birmingham at 13 Bath Street, and became a limited liability company.

In 1901 they occupied 5-6 Great Winchester Street, London, and in 1913 they moved to 2 Bradford Avenue.

In 1914 the Birmingham factory moved to Barton Passage, Newhall Street.

The company appears to have closed between 1917 and 1919, but may have continued in London as Andrews Firearms and Accessories Co.

The BSA gives it away. The gun was a Birmingham special, ie it was made by BSA and Andrews put their name on it.

You need to post some pictures, especially of the markings.

Pete