In the UK, copyright on published music expires after 50 years, so you can't leave the rights to anyone unless you die young.
Cliff Richard is now trying to persuade the government to change the law, because much of his early music is now over 50 years old, and he is losing royalties on it.
This is only in the UK, though. The US Copyright Extension Act means that the song "Happy Birthday To You" written in 1898, will carry on attracting royalties until 2030 in th US, and 2016 in the EU.