I think that the episode trunks show when he was a baby was episode 150 - 170.
they first show trunks with sword and new born baby trunks in the episode when goku finally returns from the planet namek :)
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As a baby, Trunks first appears in Dragon Ball Z episode 111, when Goku and the gang are waiting for the arrival of the Androids. Bulma is holding young Trunks, while Krillan and Gohan look in shock. (They thought Yamcha was the dad, but it's actually Vegeta.) Yamcha tells them that he's not the dad and to guess who it really was. Goku goes up to Trunks and says, "I bet it's Vegeta, huh? Right, Trunks?" Bulma stares at Goku and asks him how he knew it was Vegeta, and how he knew Trunk's name. Goku starts stuttering and that's when Piccolo appears. ( Earlier, after Goku came back to Earth from being in space for 1 year and a half, future Trunks tells Goku all of this before and tells Goku not to tell Bulma or Vegeta, or they may not have married and had Trunks.)
Yeah, I know. More information than you needed, but there you go. Episode 111 of Dragon Ball Z.
he was born 1956 according to the creator of dragon ball series, Akira Toriyama
Well, there is the order for the Dragon Ball series: 1 - Dragon Ball (starts with Goku as a child and finishs when Goku marrys) 2 - Dragon Ball Z (starts when Gohan, Goku's son born, and finishs when Z Fighters beat Majin Buu) 3 - Dragon Ball GT (starts when Goku is training with Uub and finishs when Goku finds 7 Black Star Dragon Balls and the dragon grants his wish) 4 - Dragon Ball AF (i don't know about it but Goku there goes ssj5) P.S. As for Dragon Ball Kai, that's like Dragon Ball Z but its redrawn.
he was born right after the cell games it wasnt part of any episode he was conceived right before goku fought cell the first episode you see him in is 185. Gohan goes to High School
Sherry Ball was born in 1974.
James Presley Ball was born in 1825.