Can I start a second return while I have an uncompleted return in progress and how do I name the new return?

In the desktop version, you can have multiple returns in process at the same time.  They just cannot have the same file name when you save them 

I probably have 15 on one TurboTax program right now, some finished and some just started. 

Note: this only works for program download to the computer, not the online version.