Using Conditional Formating to Highlight Similar Names in 2 Different Columns

I'm trying to Highlight name in, say, column B of Sheet1 that are in the format 'Last, First Middle' that are also on a list of names in column C of Sheet 2 that are in the format 'Last, First'. I've tried using Wild Cards with the Match function in conditional formatting, but that only highlights names in the first column that don't have a middle name. Any help would be appreciated, thanks!