You are going to need 2 subqueries to do this. You didn't provide your table name, so replace all instances of 'YourTableNameHere' below with your table's name:
SELECT [Name], DOB FROM YourTableNameHere GROUP BY [Name], DOB
Paste the above into a new query object and name it 'sub1'. It gets all unique permutations of Name and DOB.
SELECT [Name] FROM sub1 GROUP BY [Name] HAVING COUNT([Name])>1
Paste that into a new query and name it 'sub2'. It finds all the Names with multiple DOB values. Finally, you create a new query using sub1 and sub2. You JOIN them via their name fields and bring down all the records from sub1.