In addition to George W. Bush, former Senator Alan Simpson and historian Jon Meacham also spoke at the National Cathedral service.
Rather than a 21-gun salute, the Navy's planned tribute to the late President George H.W. Bush could be called a 21-top-gun salute.
People lined up Wednesday night at St. Martin's Episcopal Church to pay their respects to Bush, who died last week at the age of 94.
President Donald Trump wasn't in attendance Thursday, but Baker seemed to draw a gentle contrast by saying Bush respected vanquished adversaries.
Bush extolled his father, not only for his service as president but also as a role model as a loving husband, father and grandfather. The Clintons looked directly ahead and did not acknowledge the Trumps. The presidential pair were seated beside Michelle and Barack Obama, Bill and Hillary Clinton and Jimmy And Rosalynn Carter. What a great life he had.
Mr Clinton talks to Mr Obama
The funeral at the Washington National Cathedral brought together the current and all former living presidents. Allen tells The Tennessean newspaper the band did an impromptu performance for Bush at the White House when Bush was vice president and that began a decades-long friendship.
He was president from 1989-1993 and was known for overseeing a post-Cold War transition as well as the Gulf War. However, there were not greetings exchanged between the Trumps and the Clintons, or the Carters. Flags on public buildings are flying at half-staff for 30 days. "I want to say that I don't think I would shake hands with them".
Following the funeral at St Martin's, where Bush and his late wife, Barbara Bush, were long-time worshippers, a train will carry his remains about 100 miles (160 km) northwest to College Station, Texas, where he will be laid to rest at his presidential library.
"After Mrs. Bush's death, general companionship was a big part of Sully's job", John Miller, president and CEO of America's VetDogs, said in a phone interview. "And Trump might have half-expected, if not outright welcomed, such a rejection, as it would have given him an opening to abrasively tweet about the Bush legacy, employing Trump's patented Twitter formula: insulting nickname, distracting punctuation, malapropism, logical fallacy, self-own, hit send". Jeb Bush stepped up to try to extend that run but fell short when Trump won the 2016 Republican primaries.