I am not sure if this is what you are looking for but try this:
Workbook 1:Sheet 1: A1: Bill B1: Date of birth
Workbook 2: Sheet 2: A1: Bill B1: Address
So you are asking excel to look from bill from workbook or sheet1 to match bill in workbook2 or sheet2 and pull the address: here it is
=vlookup(A1(from sheet1),A1:B10(range from sheet2),2(column index number 2 as address is placed in column b), false)
This should return bill's address
Hope this helps. However, please understand that doing a vlookup on names,is not a good practice, for the sheer reason that they might not be unique most of the time.
Good Luck