I wrote a detailed reply which unfortunately got swallowed by the internet and lost.
I'm sorry but while your shaft may have started life in the Palmer shop as is also possible with some of the parts (pin/joint/weight bolt maybe), there is no other part of the butt that speaks Palmer.
There are so many jokers messing with cues that this is probably just something assembled with parts from here and there, and then mated with what might be a Palmer or Paradise shaft.
In response to your comment that Palmer made custom cues as well as those shown in their various catalogs, that is true but seldom did they stray very far from the production cues. When they did, they still used some off-the-shelf components. One example of a non-standard Palmer which did stray from the norm was the so-called Colavita cue and it's sisters, one of which is shown below.
PS Regarding the cues that Palmer made for Brunswick, they were produced during Second Catalog production, were window cues with the familiar embossed foil labels and spanned three models two of which were almost identical to the Second Catalog Models B and E. Those were dubbed the Brunswick Custom and Brunswick Original. The third was the Lord Brunswick which did not parallel any standard Palmer. A picture of the Brunswick cues is shown below.