What is the ruling on naming a son "Mirghani" after a deceased father?

The mentioned name has no known meaning in classical Arabic. It is likely a colloquial name. We see no objection to naming with it due to its prevalence and the lack of disapproval from scholars, unless there is a Shariah prohibition in it. It is preferable to name with good, well-known names, such as the names of prophets and companions, but there is no harm in naming with others that have no prohibition.