I would like the user to select a name from a drop down and in the back ground have the email address of the name the selected added to the database b

Hi,

What exactly do you want to do with the Email address?

You can use Calculation values to have an email address passed into another field when a name is selected in a form.

Please take a look at this on how to use calculation values.

https://www.jotform.com/help/301-How-to-Assign-Calculation-Value

Please contact us if you require further assistance.

Ok. I got to the stage listed in the answer, but how do you get it to display the value? i.e. email address for the name they select

Please check my demo form: https://form.jotform.com/201686378034055

Is that what you're trying to create? If yes, you can use the Insert Text into a field using condition by following this guide: https://www.jotform.com/help/268-How-to-Insert-Text-or-Calculation-into-a-Field-Using-Conditional-Logic

Here's a screenshot of a sample condition settings:

You need to create multiple conditions based on the number of names and emails you want to show. 

If I misunderstood your question, please let us know. Thank you.

You can also clone the demo form to check it further by following this guide: https://www.jotform.com/help/42-How-to-Clone-an-Existing-Form-from-a-URL