Hi,
It will be tough for your mom for the next month-6 weeks, then she should slowly start to get better. By November, she should be doing much better. She will probably still be tired and not have her full energy & strength back. If she can nap during the day for example, while others are out, that would work.
Saliva and mucus troubles my still be there. She can/will need to drink water constantly.
Food & eating may be troublesome. Travel with cans of ensure or boost and plan on hitting a grocery store to buy more if needed. By then she'll have an idea what she can eat - soups, eggs, yogurt, pancakes, quiche. A hotel with a small fridge might be handy.
And sharing a room with small kids would not be recommended if she is still fatigued! (I have 2 of my own)
I'd recommend refundable tickets, hotel, etc, because she may not feel up to it, or there may be complications, etc. but otherwise, a change of scenery and chance to see family sounds like good therapy to me!
Best of luck to her from a fellow survivor!
Michelle