Access 2003 Select Distinct in Append Query

I am appending table 'A' to table 'B'. Both tables have a very simular structure.  The group of fields last,first & init have a unique value.  If this unique group is not present in table 'B' these fields, along with several other non-unique fields,  should be added to table 'B'.

My question is how do I limit Select Distinct so the other fields which are part of the same record are also updated?

Example:

Insert into Master (Last,first... )
Select Distinct Daily1.last,Daily1.first   ...
                     [plus other fields (address,city,state) ]
From Daily1

Thanks,

David