Sitting at home with myself.

[Queen_of_Swords]

Leave it open ended so she can refuse, no expectations.
If you don't ask the answer is always no, so what do you really have to lose?

So: "W, you are most welcome to come if you wish, we'd enjoy your company."

Don't say anything else. Don't try to persuade.

You're allowing her to make a decision here with no pressure.

As long as you're indifferent the answer and behave that way too, she may surprise you.

Just my two cents.