According to this book (1993):

• Ted R. McElroy received just over 75 WPM in 1939
• Harry A. Turner sent 35 WPM using a hand key in 1942 (using Continental code, believed to be equivalent to about 50 WPM in American Morse)

This article (2013) seems to think that further improvements have been made:

The Guinness World Records' record for the Fastest speed for a morse code transmission was set by Andrei Bindasov (Belarus), who successfully transmitted 216 Morse code marks of mixed text in one minute.

However, the Guinness site lists a completely different set of individuals for "morse code sent and received":

Les Edwards using morse code sent the prescribed 160 character message to Ray Carter. Ray received the message by a morse code receiver and then typed it onto a piece of paper using an old fashioned typewriter in 1 minute and 8 seconds on the set of Guinness World Records at Seven Network Studios, Sydney, New South Wales, Australia, on 27 August 2005.

According to this book (1993):

• Ted R. McElroy received just over 75 WPM in 1939
• Harry A. Turner sent 35 WPM using a hand key in 1942 (using Continental code, believed to be equivalent to about 50 WPM in American Morse)

Guinness seems to think that further improvements have been made:

The Guinness World Records' record for the Fastest speed for a morse code transmission was set by Andrei Bindasov (Belarus), who successfully transmitted 216 Morse code marks of mixed text in one minute.

However, the Guinness site also lists a completely different set of individuals for "morse code sent and received":

Les Edwards using morse code sent the prescribed 160 character message to Ray Carter. Ray received the message by a morse code receiver and then typed it onto a piece of paper using an old fashioned typewriter in 1 minute and 8 seconds on the set of Guinness World Records at Seven Network Studios, Sydney, New South Wales, Australia, on 27 August 2005.