Hi,
Thanks for the details.
You cannot get the name of the BarItem as that is not exposed. But you can get the Tag or Text property of the BarItem. To raise the events, please refer to the below sample.
http://www.syncfusion.com/uploads/redirect.aspx?file=F89001_BarItems_5ca3cf09.zip&team=supportNote:The ParentBarItem click event will be fired only when the ParentStyle of it is DropDown. This sample also explains various options in this.
If this does not address your problem, please update a sample or modify this sample, so that we will be able to update this issue with more details after analysis.
Regards,
Nanda