[Edward Tinker]

What she has is a police luger - it likely was sold as a 'commercial' straight to the polcie, perhaps through the army.

The FAQ here can be downloaded and help.

So, luger was made by DWM, guess is around 1929-1930 - pistols during the time period did not get a date.
The two matching magazines are numbered 1 and 2 - which is correct for police.
Notice that the 'wood' mag has a " + " - this meant it was the second magazine, but in the army style. Either this luger was bought by the army and marked or it passed through them for a bit before being transferred to the police.

Originally issued two wood magazines, one would be blank with only serial number and the other would have a plus sign meaning second mag. Then as needed, wood magazine bottoms were being replaced by aluminum bases around 1926 time period - the number 1 mag got lost or damaged and a replacement in aluminum was supplied.