We stayed at the Trapper's Cabin, so I don't know about the Eagle Cabin. I would contact the owners
There are 4 cabins that come with bathrooms.
The Eagles Cabin has space for 4. Kids sleep on a pull out sleeper. It has a full kitchen but does not mention having a bathroom and shower. The Log Cabin does have a bathroom but not a Kitchen. It offers a fridge and microwave. The showers and bathroom are very close but if you have kids I would recommend the Log Cabin due to the 2 queen beds and private bathroom. Walking at night to the bathroom might be a little scary for kids.
Get an answer from Huckleberry Lodge Cabins staff and past guests.