What brand and model hood fan. Have you tried to contact the manufacture of the hood fan?
Maybe check some appliance stores or your local electrical supply.It is not a hood fan but an old through the wall exhaust fan. There was a label inside but it is not readable - too old. The home is 60 years and I am not sure when the motor was installed.
BTW we are planning new kithchen and will replace all this garbage but it will be in a while. So I am reluctant to replace the whole device. $30-50 for the motor is reasonable.
Thank you,
Leonid