Thank you for your continuous interest in TeamPulse.
Unfortunately at this point it is not possible to add new fields for a workitem in TeamPulse and
from this point of view we cannot offer you adding "Reported By" field for bug as well.
One possible solution that I may suggest you is to use the Feedback Item of type "Problem". By reporting a problem there you can either "Like As" the person who actually reported the bug or add his/her name as a "Source" of the problem. Also by doing so you are actually allowing other TeamPulse users to vote for a problem as well and this way raise its actual priority.
I want to share with you a link to our internal Customer Feedback Portal where we have already created a request for the feature you need:
Please add one more vote for you in order to raise the priority of the request and hopefully see it implemented in the near future.
If you have any other questions, please do not hesitate to contact us at any time.
All the best,
the Telerik team