As Ike's hurricane-force winds began to subside, emergency responders were just starting to assess the damage around Galveston Saturday morning.

At about 9:30 a.m. Central time, Lee Lockwood, with the emergency operations center in Galveston, said personnel were just starting to send assessment crews out and that it was still "very early" in the emergency response process.

On Friday, the emergency operations center warned Galveston residents that those remaining on the island in one- or two-story homes faced certain death. Still, about 40 percent -- almost 25,000 -- of Galveston's 58,000 residents chose to stay behind.

Mary Jo Nashcke, speaking from Galveston's emergency operations center to FOX News at about 11:15 a.m. Central time, said many residents who chose to stay behind did so because of negative experiences they had with Hurricane Rita in 2005.

"It took upwards of 40 hours to make a six-hour drive (during Hurricane Rita)," she said. "Those who did not heed the warning just did not feel it was as important to do as we were stressing."

Naschke said emergency responders planned to regroup around noon Central time with assessments on the health and well-being of residents.

"In the immediate future, we need to assess who is still in homes and stranded in water and who needs medical attention," she said.

Alison Castle, press secretary for Texas Gov. Rick Perry, said Galveston is under 2-4 feet of water and emergency responders would be using air, land and boats to residents.

"We don't know what we are going to find," Galveston Mayor Lyda Ann Thomas said. "We hope we will find the people who are left here alive and well."

Dr. Manny Alvarez, managing editor for FOXNewshealth.com, said many of the residents who remained in Galveston may still need to be evacuated in coming days because of "unsanitary conditions" triggered by the hurricane, especially since many homes are without running water and toilet facilities.

In Clear Lake, Texas, about 30 miles from Galveston, Disaster Officer Jana Sweeny told FOXNews.com Saturday it was a "rough" night and her description of the current situation was bleak.

She said residents of Galveston and surrounding areas who stayed behind began checking into the Hilton Hotel -- where Sweeney was stationed -- Friday afternoon, with pets in tow. The hotel's power was knocked out overnight and the plumbing failed. Sweeney said toilets were no longer flushing. Some flooding occurred in the lower level of the hotel and some windows were damaged by the winds.

She said the hotel is doing the best it can under the circumstances, putting bottled water into the hallway for residents, but it's not a shelter and can only do so much.

"This is really a lesson as to what happens when people don't evacuate to an emergency shelter when they're told to do so," she said.

She was awaiting information from Galveston officials, and estimates on how many people will need help.

"We hope people planned ahead," she said. "We know that with Gustav, power was knocked out even in shelters for a week."

Click here for hurricane-related tips from the Red Cross.

Emergency responders had no information as to how Galveston-area hospitals were holding up. On Friday, one hospital said it was preparing for the worst.

“We’re at emergency status, only essential personnel remain at the hospital,” Marsha Canright, director of public relations at the University of Texas Medical Branch at Galveston, told FOXNews.com Thursday. “The neonatal babies are going to San Antonio by air. We stopped taking new patients on Monday. We just have very ill people at the hospital.”

The hospital, which had about 600 patients at the beginning of the week, is down to about 450.

The University of Texas Medical Branch at Galveston was relaying information to the outside world through a blog on its Web site Saturday, but did not offer information on patients.

According to the blog, power is out in Galveston, but UT Galveston's administration building was using a generator for both lighting and air conditioning. The blog went on to say that there is no running water, but flooding on the island is beginning to subside.

"The most important thing is that all staff are safe," the blog said.

Elsewhere in Texas, one Houston hospital said it was without power but still able to care for patients.

"We are safe, and operating under our own power," Gale Smith, a spokeswoman for The Methodist Hospital System in Houston, told FOXNews.com Saturday morning.

There were some minor leaks around the building, she added, and a few windows popped open, "but, overall, things look good here at Methodist."

The hospital has about 700 patients in residence.

Methodist Hospital has also set up a pet shelter and daycare facility for the use of essential personnel.

Canright said the hospital also housed 95 inmates from Texas Department of Criminal Justice, and they were evacuated to a facility in Tyler, which is north of Galveston.

Since the hospital has switched from paper files to electronic files, it is much easier to transfer a patient’s medical records during the hurricane evacuation, Canright said.

Over in Lake Charles, La., which is nearly three hours from Galveston, residents were also experiencing what Mayor Randy Roach called a "major flooding event."

Nonetheless, Christus St. Patrick Hospital still has to prepare for one of its busiest weeks ever, said Karen Stubblefield, the hospital's public information officer.

"Less than 50 percent of the community evacuated," Stubblefied said. "So the risk to hurt themselves outside is far greater. And, we will take in patients this week from hospitals who are less equipped than us. We are preparing for a really busy 48 hour to seven day operation."

In Louisiana, Ike's storm surge inundated thousands of homes and businesses. In Plaquemines Parish, near New Orleans, a sheriff's spokesman said levees were overtopped and floodwaters were higher than either hurricane Katrina or Rita.

"The storm surge we're experiencing, on both sides of the Mississippi River, is higher than anything we've seen before," Marie said.

VIDEO: Click here to watch a video on evacuation necessities.

VIDEO: Click here to watch Dr. Manny Alvarez discuss how hospitals prepare for a storm.

The Associated Press contributed to this story.