I'd imagine that if there were any additional, relevant information, the OP would have included that. Unless, of course, her intention was just to villainise her daughter by missing it out. People can only go off what they have.
OP, both of my children are kind, compassionate people but, at 11, both would have felt a combination of embarrassment and concern. Seeing a parent sick, injured or vulnerable can rock their own sense of safety and make them feel very vulnerable and exposed. They don't really understand their emotions (a lot of adults don't either!), cant name or articulate them and so their reactions can also feel off.
There is possibly a need for some reflection here, as others have said.
What is the emotional environment like in your house generally?
Is seeing you cry a regular occurance?
I'm inclined to agree with others that a fall bad enough to require assistance home from two men would also require additional follow up.
You say that you didn't ask them and "they just did" but I would only have accepted that if I'd really needed it. Otherwise, I find that, "No thanks. Its very kind of you to offer but I'm fine," works well. I mean something must have been said. They must have communicated to each other or you in some way.