The area was originally named after Captain Whittle and his family from Dorsetshire, England. Upon the death of Captain Whittle, his widow and her children decided to return to England. Hence, the remaining settlers referred to Whittle's Bay as Whittle less Bay and eventually, Witless Bay.
  They have about 1000 people living there in approximately 400 dwellings. Whale watching and iceberg sightings are their major attractions. Humpback and Minke whale sightings are numerous and you can find tours to see them up close from a boat.

Description borrowed from
Explore Newfoundlandand and Labrador
Visit them for much more information