Okay.... bare with me...
this is a 'big sister' talk....
I get it, I really do but this is where you need more than love and patience (you will quickly grow tire of 'getting nothing').... you need flexibility and bargaining ability. If not she will continue to drift away and if you are not the 'spiritual head' then the WTS is!
She has no reason to give you any spiritual 'time' if you aren't willing to give back in return (ie meeting).
She is correct you are 'in control' she is 'waiting' on you (this is just how us girls do in relationships where we were raised with 'headship'). So take the ball and put it into play. She wants you to attend and you want her to discern so propose a compromise where she reads old literarture or website and you go to segment of the meeting (ie CBS or PT). The more she reads the more you go to make her happy but not with the intention of 'believing'.
here is another 'MUST' you must do the FWN, it is vital that you take a lead spiritually at the bare minimum so that the 5 year old sees you being 'spiritual'. Use the Bible only and maybe rip off a few fun ideas from the Mormon 'Family Home Evening' webpages (yes our FWN is a ripped version of their FHE).
Know when falling back gives you greater access to getting ahead......
Hugs, love and prayers for you and the family!