Sometimes I need to inspect elements that are only showing up on a page if you put mouse over some area. The problem is that if you start moving mouse towards firebug consol
Open console:
If you have javascript based tooltip, find applicable elements in console with appropriate selector. like below and confirm you able to find appropriate element with selectors.
$('your selector')
Write above javascript and Press enter. you will have list of elements.
Now e.g. If library added event on mouseenter enter following script:
$('your selector').mouseenter()
Press enter.
This way you can simulate mouse movement events without actual mouse. and can use actual mouse pointer to investigate thing in debugger tool.