Charlie, as far as I can tell Chalmers used the following ignition sytems:
1908-14 - magneto ignition
1914-16 - Atwater Kent battery ignition
1916-24 - Remy battery ignition
1923 - Auto-Lite battery ignition
The following distributors had been used:
1914-16 - Atwater Kent K-2
1916 - Remy 209-A and 209-E (manual advance only)
1917-23 - Remy 355-A (manual advance only)
1923 - Auto-Lite IG-4039A
1924 - Remy 616-F
They should have the same mounting (not sure on IG-4039A and 616-F).
See below drawing of Remy distributor 355-A.
Hope this helps