How many names are in the list box? Are they last name first? Hopefully they are already sorted?
As you are probably aware, simply typing the first letter and only the first letter will advance to the next item in the list that starts with that letter. After the initial letter you are on your own.
How do you populate your list? Is it a value list or a table/query? I suppose you could search the same row source after you have captured the target.