I’m not clear on what you have actually stored… but when you press [STORE] when editing a Performance, you are offered to “Store as New Performance” - you are then asked to give the Performance a Name. If you are editing an existing USER Performance, you can either “Store as New Performance” or “Overwrite current Performance” (which keeps the current Name)

On any Performance:
Press [EDIT]
On the upper [COMMON/Audio] Level touch “General” > tap “Performance Name”.

There is actually a User Bank which can hold a maximum of 640 User Performances.
You can view them all in one of the following two ways…

1) From the HOME screen
Press [CATEGORY SEARCH] > set the “Bank/Favorite” = USER > set “Attribute” = All
The result field will show you your User Performances, which you can page through.

2) Press [UTILITY] > “Contents” > “Data Utility” > tap the folder labeled “Performance”
Here you can see how many out of the 640 User Performances you have stored.
You can sort them … tap a Performance box to view a pop-in menu > select “Rename”

We are not clear on whether you are confusing “Live Set” programs with User Performances.
A Live Set listing is like set list… it “points to” Performance locations throughout your instrument.
It does have Live Set “User” Banks… there are 8 User Live Set Banks each with 256 slots.
These can be independently named… perhaps that is what you mean when you mention naming them the name of the Song.

You can add a “Slot Name” to each Live Set entry… perfect for the Song title that the Performance will be used for…

Press [LIVE SET]
Repeated presses will cycle you through the current Live Set Banks
There are the Preset Live Set Bank… 16 PAGES, 16 Slots per Page
User 1 Live Set Bank… 16 Pages, 16 Slots per Page
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User 8 Live Set Bank … 16 Pages, 16 Slots per Page
When you have Libraries installed they can contain Live Set Banks, as well.

If you tap “Edit” on a Live Set, you can enter a “Slot Name”, in addition to the Performance Name that is being referenced. The Slot Name could be used to identify which composition you play with this Performance.