MELONIE JURGENS grew up in a part of the country that former President Jimmy Carter had in mind when he famously complained that America has too many lawyers yet too many people who go unrepresented in times of trauma.

“I grew up in rural Nebraska, where there’s not a whole lot of access to the legal system, which in itself is something that people didn’t really understand,” said Ms. Jurgens, 27, a general litigation associate at White & Case LLP. “I knew people who faced terrible problems because they didn’t have money to get lawyers.”