This name has some use in the United States, but it's usually pronounced the same way as Alida (uh-LEE-duh). The same thing tends to happen with Freida / Frida.
My middlen ame is Aleida, which I got from my mother's Dutch grandmother. I have 2 Dutch grandparents, who both pronounce it ah-LAY-duh. Although we live in Sweden, I actually hear it as a-LEY-da. All depends on your own country's language. But the Dutch people I know are very thorough on the LAY part.