Do single, childless women earn more than their male counterparts in urban USA?

Question

The Daily Wire has a 2016 article that claims that women are not victims of pay discrimination.

The general topic is covered by a relation question here: Are women underpaid relative to men?

However, one more specific claim that is made is that single women without children in major cities earn much more than men.

As noted by the Daily Wire in April, analysis of the Census Bureau’s American Community Survey reveals that “single, childless women earn more than their male counterparts of the same age in major cities across the United States.” Per Time:

[A]ccording to a new analysis of 2,000 communities by a market research company, in 147 out of 150 of the biggest cities in the U.S., the median full-time salaries of young women are 8% higher than those of the guys in their peer group. In two cities, Atlanta and Memphis, those women are making about 20% more. This squares with earlier research from Queens College, New York, that had suggested that this was happening in major metropolises. But the new study suggests that the gap is bigger than previously thought, with young women in New York City, Los Angeles and San Diego making 17%, 12% and 15% more than their male peers, respectively. And it also holds true even in reasonably small areas like the Raleigh-Durham region and Charlotte in North Carolina (both 14% more), and Jacksonville, Fla. (6%).

I am looking for empirical evidence as to whether young childless women outperform their male counterparts in earnings.