1. intimation;
http://dictionary.reference.com/browse/intimation?s=t I can see wher eyou got that from, but actually we would say 'notification' in this case
2. The problem with a hung process is defining when its hung; its different for every program.
You'd need a specific test for a given program ie you need to define what hung means in this case and construct a specific test for it.
You can use a remote test, or use nrpe to run a local test, then send the result back to the nagios server.