I work at a tutoring center in the summer, and can see the formation of Fred here with one of my students.
He will take 10 minutes to get to the room and settle. While all the other kids walk right in, he has mommy come, and sit for a while. Admittedly, these are young grade school.
He will say he cannot pour his own water, mommy does it for him. He can di it just fine, but will walk very lazily and if I do not watch him closely, he will purposely slosh a bit.
When it is book work time, and he does not like the assignment, he will refuse to pick up his crayon/pencil and then say, "mommy does not make me do this work."
when I had him sit and work, instead of play, he claimed I "hurt his feelings."
At activity time, he wanted to work with another boy who was tired of him that day, so Fred fussed that the other boy was mean. Absolutely No bullying was going on, the other boy had just spent his limit on Fred.
And then mom is almost always late for pick-up, and smothers her little boy with huge hugs and kisses and says, "oh my sweet boy, I left you here all by yourself! I am so sorry to have had you be all alone! let's go have lunch, any place you choose."
Methinks this Fred in the making may have a hard time as he gets older.
As for the original story,
I think people got off track with the watching a show bit. She could have said "a few moments to myself" with out saying what she did and people could assume anything from a headache to a long bathroom break to making private phone calls, etc...
I think the OP did fine. Next time, she could shoo them all out but Fred could stay in the yard while the rest go two doors down to the park.
I do like that numerous posters say take a book outside, instead of a hand held electronic device. That would be Fred's item, I bet!
And, no computer is just fine. DD has been caught texting the person she was sitting next to. Lame! you are in the real world--interact with it!