At night a lighthouse is a lighthouse ....but at night a lighthouse has a characteristic signature from the light, and is far more visible than day. Both were sector lights, b'rock 360 degrees and B'sod dark between 018 and 189 degrees, which is the landward sector. Both flash white and red over their sectors as follows..
B'sod red 189 to 210, white 210 to 018, flash 2, 7.5 sec
B'rock red 212 to 276, white 276 to 212, flash, 12 sec.
No one familiar with maritime could confuse these.