Bush, 92, was in stable condition and "doing fine," Jean Becker told the television station. Bush is expected to go home in a couple of days, Becker told KHOU.
Reuters was not immediately able to reach the family spokesman Jim McGrath or the hospital where Bush was taken.
Bush is the father of former President George W. Bush and former Florida Governor Jeb Bush, who sought the 2016 Republican presidential nomination.
The elder Bush, a Republican like his sons, served as vice president during Ronald Reagans two White House terms before being elected president in 1988. He served four years in the White House.
Bush has used a wheelchair in his later years and was hospitalized twice in 2014 - once for seven weeks with pneumonia and again for breathing difficulties. In July 2015 he broke a bone in his neck in a fall at the family home in Maine.
Bushs public appearances have been rare since he entered his 90s. In October 2015, Bush, sitting his wheelchair, wearing a brace on his neck and clad in a Houston Astros jersey, tossed out the first pitch at the teams playoff game against the Kansas City Royals, Reuters reported.
He marked the 75th anniversary of Japans attack on Pearl Harbor in 2016 by attending a ceremony at his library at Texas A&M University where Bob Dole, the former Republican Senator from Kansas, was presented an award for public service.