I believe Paris was used as an AA battery in Portsmouth during 1940, be interesting to see that one if the sources exist.
You are correct; yes, Paris was used as an AA battery in Portsmouth while she was under British control. I have not been able to find any sources to draw from, and since colombamike has not asked me to draw that rendition, I doubt that even he has any either.
The battleship "Paris" was under british control since July 3, 1940 & remained throughout the war
I) AA Battery : July 1940 -Spring 1941
For the "whole" of the Battle of Britain
(july 1940 - spring 1941), this ship was mainly used as a AA floating battery to protect Portsmouth harbor.
Initially
(during summer 1940), in a "emergency basis", the british used Paris without modification
(they extensively used the French AA guns : 75mm; 13,2mm), but as the months passed
(by late 1940), with the depletion of French AA ammunition, the british modified the light AA armament
(mainly by replacing the french twin 13,2mm by few singles 40mm pompoms).
II) Barrack & Depot Ship : Summer 1941 - end of the war
When the German air threat was greatly reduced in the spring 1941
(he fired upon on rare occasions on few German planes over the harbor by late 1941-1943), he was used* for the remainder of the war as a depot & barrack-ship (mainly by british & polish crew).
*the storage/barrack facilities on board were installed progressively throughout 1942-1943
Obviously I have sources & refs, but for this
"Paris, summer 1940-late 1941" version,
the changes are so small (addition of british flag, 5-6 single 40mm pompoms replacing french twin 13,2mm), I think it is not necessary to draw them