Have a look at the default value on my:field2 in the attached template. Even if additional rows are added at the beginning of the table, the value remains in the first row. You can replace the "Hello" with the expression for the name value you want to use, and replace my:group2 with the name of your repeating node.
You might also consider having the name value in a non-repeating field, and showing it only in the first row of your repeating section. This would make more sense from an XML data perspective, as you wouldn't wind up with empty, needless fields. The template I'm attaching shows how to do this as well.