Mackinsey Beck disappeared into the creek near Peggs about 6 p.m. Monday as her mother, Heather Alverson, 22, carried her from their home in an effort to escape rising water.
"Yesterday (Monday) afternoon, the mom in fear of the creek rising, thought she would be trapped and flooded, took the baby on her shoulders trying to cross the creek," said Trooper Betsy Randolph.
"There was rushing water, swept her off her feet and the baby was swept away," Randolph said.
The mother was able to make it to the creek bank and call for help.
The toddler's body was found in brush about 8:30 a.m. Tuesday by the Peggs Fire and Rescue Department about 1 mile south of where she went into the creek, Randolph said.
Meanwhile, in Memphis, Tenn., a 7-year-old boy also drowned and two men were missing in waterways flooded by heavy rain.
A strong storm system dumped heavy rains across eastern Oklahoma with rainfall totals in the 5 to 6 inch range across the region, according to meteorologist Pete Snyder with the National Weather Service in Tulsa, who said the weather system moved out of Oklahoma Monday night.
"Most of it had moved over into Arkansas, there was part of a squall line down in the south and there may have been a brief tornado in Choctaw County. There were no damages. They were mainly radar indicated tornado and we haven't had a chance to check to see if it actually touched down," Snyder said.
The forecast for Tuesday was for mostly sunny skies and milder temperatures from the mid 50s to lower 60s, followed by another, weaker, storm system expected to move into the state Wednesday, Snyder said.
"We're looking for more showers and thunderstorms, but the likelihood for any severe weather is going to be lower with this system because it's slightly cooler."