Officials announced on Sunday that the overall death toll in the ongoing Texas flooding has risen past 130 killed.

There are 106 confirmed deaths in hard-hit Kerr County, with 36 believed to be children.

-ABC News' Vanessa Navarrete

As dangerous flooding conditions continue to threaten central Texas, Gov. Greg Abbott said "dozens" of Texans have been rescued by Texas Task Force 1 in the Lampasas area.

"They and other first responders will continue operations to prioritize saving lives," Abbott said of the joint state and federal urban search and rescue team.

-ABC News' Vanessa Navarrete

The Kerrville Police Department has suspended ground search operations due to the current flood danger.

"We will provide more information soon but for now, all search crews need to evacuate the river corridor until further notice," police said in a statement Sunday morning.

Police said they are "seeing heavy rain in Kerrville at this time" and that volunteer operations are currently suspended "until further notice."

Highway 39 is also closed to "everyone except first responders and residents."

"Protecting lives is our highest priority," police said.

The National Weather Service issued an alert Sunday morning for "life-threatening flash flooding" in in Kerr and Gillespie Counties, including the areas of Kerrville, Comfort, Ingram, Hunt, Mountain Home, Waltonia, Harper, Kerrville-Schreiner Park and Cypress Creek. Up to 2 inches of rain have fallen in those areas, with rainfall rates expected to reach 1 to 2 inches per hour, the National Weather Service said.

"Life-threatening flash flooding" is ongoing in Kerr and Gillespie Counties -- including the areas of Kerrville, Comfort, Ingram, Hunt, Mountain Home, Waltonia, Harper, Kerrville-Schreiner Park and Cypress Creek -- according to the National Weather Service.

A "considerable" flash flood warning is in place -- alerts should have been sent to all phones in the area.

Up to 2 inches of rain have fallen, with rainfall rates expected to reach 1 to 2 inches per hour.

Heavy rain has slid southeast into this area and is falling now.

-ABC News’ Kyle Reiman

As questions swirl surrounding the timeline of who was notified about the flooding when, and if more could have been done, Department of Homeland Security Secretary Kristi Noem said an alert from the National Weather Service was sent to people in the flood zone -- but she said that doesn’t mean that people heard it.

"That is for local officials to determine what their alert system is," Noem told "Fox and Friends."

Noem said the new posture from the Federal Emergency Management Agency is to allow state and localities to make decisions on what is best for their communities.

Gov. Greg Abbott has scheduled a special legislative session for later this month to focus on, in part, improving warning systems for flood conditions.

-ABC News’ Luke Barr