I am the daughter of a man born in Canada in 1916. He became a naturalized citizen of the US in 1943. I was born in 1944 as a US citizen. Am I eligible for Canadian citizenship because my father was born in Canada?

That’s a complicated question as Canadian citizenship as a nationality did not exist until 1947. So your father was a British subject when he naturalized in the US and so the British Nationality and Status of Aliens Act 1914 applies. And according to that law, he would have lost his British subject status by nationalizing in the United States, meaning you cannot claim Canadian citizenship through your father.