Up till the recent gales, I had a Sumac tree next to the lawn.

The winds finally defeated it
Now all that is left is a small stump. However the root system is
throwing up small saplings (suckers?) through the garden and lawn.

I had resisted SWMBO efforts to remove the tree before, but now it's
gone she wants the saplings gone as well.

Would drilling a small hole in the stump and pouring neat Round Up
into the hole kill the root system? If not what would do the job?

Rick...