I dunno about any lunch invitations OIN. You will have to gauge that carefully... if she is caught on the wrong moment it will set you back.. tread lightly.
I woudln't send flowers to work right now either. Given the stories she's passing around it may look like you are trying to apologize for being the person she is spinning. We know she's lying, but if people see flowers she may just do this :
"See... Now he thinks he can heal my bruiss with flowers... What an a$$"
Be VERY careful before you send flowers, that too can backfire... you need to know its goign to be received well first.
I don't reccomend experimenting overmuch at work just yet.
