Actually, since Eddie isn't listed as the executor of his brothers Estate, nor would he inherit anything, keeping track of expenses on his end is kind of a moot point and would accomplish nothing.
Now that said, I have no doubt that what Eddie does and tells his mother he does is "Gold", if there is money in the estate to be paid to Eddie for his services, his mother will pay him. Thing is, not all families are the same.
That's not legal, but love and understanding that you're doing the right thing for the person you love.
Thing is, I'm guessing most people here on this forum are not eyeballs in debt, and they have enough assets to cover what debt they owe.
When my aunt died basically penniless(no assets) and I was the executor of her estate, I lived 484 miles out of state. It was a 8 hour drive one way, more than a couple of trips on my end (with my truck in a couple of instances to move things). Because our family was so large, I still got questioned on my expenses (and yes, I filed everything with the lawyer). Honestly, being her executor was the biggest PITA life experiences I've had dealing with family, but at the end of the day, it was a learning experience about people and I didn't mind because my aunt loved and trusted me, and it's the least I could do for her since she was no longer with us.
My dad, selling his sisters "family home" got questioned as well on his expenses from family being he was the executor because there were back taxes and legal fees on the home that ran over 10k over a 40 year period. When my dad died, I found the paperwork on the home. Interesting reading, at least 1" thick. I never knew he kept the paperwork.
GET A LAYWER