In February, 23,589 immigrants were apprehended at the border, according to data by U.S. Customs and Border Protection.
The children were turned over to the woman's mother.
While apprehensions went down, the Department of Homeland Security said human smugglers raised their prices.
Physical barriers may need to be built in order for certain technologies to operate, but overall the approach depends on the particular stretch of border, he said.
He said that the topography in places like Big Bend meant there would be other types of a virtual wall such as airborne surveillance.
Concrete Contractors Interstate proposed a 30-foot polished concrete wall augmented with stones and artifacts that are tailored to different sections of the 2,000 mile border.
"The movement of human trafficking of people, in general, is down significantly, and young girls are down, in particular, even more significantly", Kelly said.
Two former Bush-era border enforcement officers testified to the Senate Homeland Security Committee on April 4 that creating physical barriers between the US and Mexico have been an "integral part" of keeping crime, drugs and unauthorized immigrants out of America.
According to one family who had their farm cut in half - part of it in the USA, part of it in Mexico - they are still stunned that government was able to take their property 10 years ago.
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"There's no way I can give the committee an estimate on how much this will cost", as Kelly said he was still developing - with the input of border officials - plans that would be a mixture of physical barriers, electronic measures and more. "We had to do a lot of soul-searching", he said, of his company, where 80 percent of his workers are Mexican American, before making the bids.
"We confront sophisticated and adaptable adversaries and we are dedicated to maintaining our vigilance as we work to counter these threats to our national security", said Kelly, named to his post in January to oversee a DHS staff of 230,000.
Kelly also took some credit for himself, saying that his direct plea to government officials in Honduras, El Salvador and Guatemala along with conversations with church leaders and others in the region have helped curb the number of people trying to sneak into the United States.
During the campaign, Trump repeatedly said that Mexico would pay for the wall, but he has since requested that Congress approve billions of dollars in taxpayer money.
Kelly added that the reduction "won't last unless we do something again to secure the border". They say 18 people arrested are from Oklahoma City and seven are from Tulsa, and those numbers mark a drastic decrease from previous years.
Fewer than 12,500 people were caught at the southern border in March, the lowest monthly figure in at least 17 years and the second straight month that border arrests dropped sharply.
The Chicago Tribune reported on the proposal of Illinois-based Michael Hari, whose wall would feature a Great Wall-style pedestrian walkway atop a 26-foot concrete barrier.
Sen. Claire McCaskill, D-Mo., the panel's ranking minority member, hammered away at Trump's signature claim.