[noun] + すら [noun] + ですら
Note: すら replaces particles を/が; other particles (に, で, etc.) may precede すら.
[noun] + (particle) + すら
すら and ですら are emphatic particles meaning "even", used to highlight an extreme or unexpected example to imply that something applies all the more to other cases. They carry a formal, literary tone and are largely interchangeable with さえ, though すら tends to appear more in written language and formal speech.
すら attaches directly to a noun (replacing を or が), while ですら attaches after a noun with the copula で. Both emphasize that if something is true for the stated extreme case, it is certainly true for less extreme cases.
Here, "a child" is presented as the most unlikely person to solve the problem, implying that anyone else could solve it too.
Writing one's own name is the absolute minimum, so the sentence emphasizes a surprising inability.
すら replaces particles like が and を, attaching directly to the noun:
ですら is used when the noun would otherwise take だ or when you want to emphasize the noun as a topic-like element:
With other particles such as に, で, or から, すら is added after them:
すら / ですら very frequently appear in negative or unfavorable contexts, emphasizing that even the minimum or most basic expectation was not met.
However, they can also appear in positive contexts to stress an impressive degree:
Both すら and さえ mean "even," but すら is more literary and formal. In everyday conversation, さえ is far more common. Also, さえ can be used in the conditional pattern ~さえ…ば ("if only…"), whereas すら cannot.