When I get into Google by using www.google.com or by using the Google
Home Page and start to type in a new search item, a list of previous
searches drops down.  The list is in alphabetical order and shows all
previous searches that begins with that letter.  How do I delet this
list and keep it from coming up again.

This from the Google FAQ's ----

://www.google.ca/help/faq.html#iehistory

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How do I stop my previous searches from appearing when I type in a new
search term?

Fortunately (and unfortunately), this has nothing to do with Google.
It's a feature of Internet Explorer 5.0, which is possible to disable
using its menu. (You can verify this by going elsewhere on the web to
fill out a form and then return to that same page on which you filled
out the form.)

To disable this feature on Internet Explorer 5.0, go to the Tools
menu; select Internet Options; select the Content tab. Within the
Personal Information area, select AutoComplete. Click on Clear Forms.
You can also uncheck the Forms box in this same window to keep this
from occurring in the future.

Alternatively, you can delete individual entries from the history by
using the Down arrow key to select a previous search, and then
pressing Delete while an unwanted search is highlighted.

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Note that last step to delete previously entered terms. That should do
it for you. Happy Googling ...

-K~

With your IE browser open, go to "Tools" then "Internet Options". Then
click on the "Content" tab. Click on the "Auto Complete" button adn
then click on "Clear Forms." You can also make some modifications to
what "Auto Complete" remembers for you.