Deaths: 22
Impact: 22 deaths occurred in the Bahamas largely in the Caicos Group of Islands West of Turks Island. Long Island also experienced heavy damage, but Nassau escaped damage.

Document(s): https://goo.gl/VPstLd,

Taken from these original sources
Sumner (1945)Independent-Record (1945)

Deaths: 16
Impact: Destructive on the island on Abaco Island, 16 persons were killed and 300 injured. At Hope Town high winds destroyed 83 homes and severely damaged 63; other public buildings were destroyed. Food supplies were low, and salt contaminated the drinking supply; Only four homes were left standing on Great Guana Cay. 12 homes were destroyed at March Harbour. On Green Turtle Cay a large storm surge affected the island leading to the graveyard and all buildings being destroyed, 6 deaths occurred, and 25 injuries reported. Winds of 150 mph recorded at Green Turtle Cay.

Deaths: 25 +
Impact: Wind gusts of 120 to 140 mph were recorded; Damage to private property enormous, communication disruption, churches and shipping severely affected; vegetation stripped. After the hurricane struck Nassau flooding carried away a sea wall and houses; high tide of 12 feet on Andros, death toll of 25+ on that island. At Mangrove Cay- numerous boats destroyed or seriously damaged,

Source: https://goo.gl/Ff8zgW