I'm not sure when these photos were taken about Brooklyn.
This might be late 1941/early 1942:

Simple paint scheme I presume the dark blue on the hull
20mm Oerlikons on platforms added above the 3rd turret surrounding the conning tower
first pair of quad 1,1" might or might not installed yet above and behind the forward 5" guns
The escort carrier obstructs the view on the aft part but as only one crane is equipped it is likely the aft pair of 1,1" quads are installed already
Splinter shields for the 5" guns
Radars on the main gun directors forward and aft.
Looks like radars on the AA directors as well
This might not be 1942, more likely 1943 or even 1945 with the extensive AA, Boforses Oerlikons and what looks like SOC on the catapults?
The next two images are sadly at lower quality but likely shows mid-late 1942 state with a camouflage pattern:

Same equipment and changes as on the first image, more 20mm Oerlikons visible especially two between the 4th 5" gun and aft 1,1" quad platform,
1-2 near the 4th 6" turret
Directors for the 1,1" quads on the uppermost platforms forward and aft, possibly the 0,5" Brownings there got replaced with 20mm Oerlikons.
Not sure how many were installed, some source states 8 if that is true then 6 of them are on the main deck.
All 6" turrets have lifeboats stored on them
I'm not sure when these photos were taken about Brooklyn.
This might be late 1941/early 1942:
[img]https://i.imgur.com/5Dp185I.jpeg[/img]
Simple paint scheme I presume the dark blue on the hull
20mm Oerlikons on platforms added above the 3rd turret surrounding the conning tower
first pair of quad 1,1" might or might not installed yet above and behind the forward 5" guns
The escort carrier obstructs the view on the aft part but as only one crane is equipped it is likely the aft pair of 1,1" quads are installed already
Splinter shields for the 5" guns
Radars on the main gun directors forward and aft.
Looks like radars on the AA directors as well
This might not be 1942, more likely 1943 or even 1945 with the extensive AA, Boforses Oerlikons and what looks like SOC on the catapults?
[img]https://i.imgur.com/wBKRiTl.jpeg[/img]
The next two images are sadly at lower quality but likely shows mid-late 1942 state with a camouflage pattern:
[img]https://i.imgur.com/74GuHmp.png[/img]
[img]https://i.imgur.com/yVLcoSA.png[/img]
Same equipment and changes as on the first image, more 20mm Oerlikons visible especially two between the 4th 5" gun and aft 1,1" quad platform,
1-2 near the 4th 6" turret
Directors for the 1,1" quads on the uppermost platforms forward and aft, possibly the 0,5" Brownings there got replaced with 20mm Oerlikons.
Not sure how many were installed, some source states 8 if that is true then 6 of them are on the main deck.
All 6" turrets have lifeboats stored on them