The documentation at https://commons.apache.org/proper/commons-dbcp/configuration.html exposes the following configuration parameter:
jmxName Registers the DataSource as JMX MBean under specified name. The name has to conform to the JMX Object Name Syntax (see javadoc).
Following up on this and on a reply from https://stackoverflow.com/a/38337147/5198689, I got it working by adding the following parameter to hibernate.cfg.xml:
(Note: AFAIU, the name can be anything, just tried to follow the JMX naming, but it can be anything else)
Produces the following info (viewed with glowroot):