The OP photo does look a lot like Bermuda grass, tho...

Bermuda grass. The common one, not the improved varieties. Pest. It can climb under, over, and through anything. The least little piece left will root.

Makes a sturdy grass for lawns, but invades flower beds.

There are quite a number of hardy Shefflera species that would easily survive most winters in VA. But the plant pictured is not one of them.

I imagined that arboricola was the one meant by the OP, since that's the one widely known as a common house plant. It's a z.10+ plant.