Turbotax Premier is asking for S-Corp name for K-1. I don't have an S-Corp. and can't delete form.

Try deleting it this way.  Go to the K-1 interview section here

Federal

Wages and Income

Then scroll way down to Business Items

Schedules K-1, Q - Click the Start or Update button

If the first screen says "Do you want to review Schedule K-1?". You have to answer yes and then click Update by  the Schedule K-1 type (LLC, S corp, trust). The next screen is the Summary screen listing all of the K-1 entered for that type of entity.  You can review, edit or delete it there.

One user found he had to add a fake name first.....

I figured out that I had to actually start fixing this problem by entering a fake K-1 name to the TurboTax request and then going back to the "Update the Schedule K-1" and deleting the fake K-1 name.  

I tried your suggestion.  After I completed all the steps Turbotax is still asking me to complete the form.  So confusing.

Here's the general procedure for viewing the forms list and deleting unwanted forms, schedules, and worksheets in TurboTax Online:

1. Open or continue your return in TurboTax.
2. In the left menu, select Tax Tools and then Tools.
3. In the pop-up window Tool Center, choose Delete a form.
4. Select Delete next to the form/schedule/worksheet in the list and follow the instructions.

Tips and tricks

• Need to remove a business that transferred over from last year? Find out how to properly remove it.
• To delete a form that came in the mail (for example, W-2, 1098, or 1099) it's best to do it from that form's summary screen. Search for the form number (for example, W-2) and select the Jump to link in the search results to get to the summary screen.
• You can't delete Form 1040. That would be like yanking the foundation out from under a building. If you want to get rid of the information you've entered, you can clear your return.