Did she mean "No roughhousing in my ER"? Roughhousing is like "rough play." A mom might tell two brothers who are wrestling over a toy "Stop roughhousing!"

Rough housing means dont be rough with each other/ no fighting.

I think Sheila is on the right track whatever they are doing I guess she wants them to either not touch each other at all or be gentle when they touch which would be weird for two guys bickering unless they are fighting over an object they both are holding? I'm not familiar with the expression 'rough holding'