Incorrect. See this article:Single people never get adoptive custody of a child. Aside from the 12 month wait to get onto the adoption list, because of all the background checks..at this point they would be denied because she is single, end of her chance to legally adopt him, this is how the law works and how most social services in most English speaking countries work too.
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(the .gov TLD may only be used by the US government, so this is officially confirmed information)
US Government Child Welfare Information Gateway said:More than a quarter of the children adopted from foster care in Federal fiscal year (FFY) 2017 were adopted by single people—almost 15,000 single women and nearly 2,000 single men adopted children from foster care in FFY 2017.