Queries :: Make Table Query On Like Fields

I am developing a Make Table Query from 2 tables, one of which has an "Employee Name" field (lastname,firstname) and the other table has separate fields for LastName and FirstName. I've been able to accomplish almost what I need by:

WHERE ((([Table 1].[EMPLOYEE NAME]) Like [Table 2].[LAST NAME] & "*"));

Which works fine except when there are 2 employees having the same last name, then it generates duplicates. I suspect there must be a way to do this by incorporating the first name field in the sql statement but that's beyond my ability. I realize that names are not good things to base a query on, but the 2 existing tables have been preset and populated by others and I don't really have the capability to change them.