After her death, Bail Organa (in the Sundered Heart) took the Jedi to their destinations on Tatooine and Dagobah. Presumably this included dropping Padmé's body off at Naboo en route.
“To Naboo, send her body …” Yoda stretched his head high, as though
tasting a current in the Force. “Pregnant, she must still appear.
Hidden, safe, the children must be kept. Foundation of the new Jedi
Order, they will be.”
Obi-Wan and Yoda watched the funeral from Bail Organa’s starcruiser.
It was as close as they dared come. The Emperor’s attention would
surely be fixed on the funeral, and they would not take the risk of
Revenge of the Sith: Junior Novelisation
As far as the circumstances of her death were concerned, it was apparently not Naboobian tradition to ask too many questions. Her family were simply informed that the Jedi murdered her on Coruscant during their attempted coup.
Further down the canon, the EU novel Dark Lord: The Rise of Darth Vader contains the following info
Holocams at the Temple or in the former Republic Plaza might easily
have captured his speeder, and those images could have found their way
to Palpatine or his security advisers. Word might have leaked that
Bail was the person who had arranged for Padme to be delivered to
Naboo for the funeral. If Palpatine had been apprised of that fact, he
might begin to wonder if Obi-Wan, having carried Padme from distant
Mustafar, had informed Bail about Palpatine’s secret identity, or
about the horrors committed on Coruscant by Anakin, renamed Darth
Vader by the Sith Lord, whom Obi-Wan had left for dead on the volcanic
And then Palpatine might begin to wonder if Padme’s child, or
children, had in fact died with her…
This seems to lend weight to the idea that Bail didn't visit her family personally, but perhaps waited in orbit while one of his men went down.