Continuity mistake: During the scene where Lewis is first on the roof-top, and Mildred comes up to speak with him, the box he is sitting next to is plain wood on one side, and tallied on the other. When there is a close-up of Lewis' legs and the torn paper, when he's ripping the pages out of his book, the box has stencilled writing that is upside down. (00:06:25 - 00:18:30)
Continuity mistake: When Lewis is tearing out the pages of his notebook, his bag is open. When he discovers that Wilbur is not a cop from the future - from the tanning salon coupon - he goes to grab his bag. This time his bag is closed and in the opposite position.
Continuity mistake: When the time machine crashes, Wilbur is holding the detached steering wheel. In the next shot, the wheel is still attached.
Continuity mistake: In the scene after Lewis and Wilbur crash the time machine and are pushing it across a huge field, right before Lewis says "What about your parents?" the shadow of the time machine looks as if it's noon. In the next shot, when Wilbur responds "Mum never goes." the shadow is completely different. It's now to the left of the screen.
Continuity mistake: In the very beginning, when Lewis' mother is delivering Baby Lewis to the orphanage, the light reflected on the building to the left of the orphanage changes dramatically throughout the scene.
Answer: There's no indication that the dog had anything to do with Mr Peabody (especially since the dog didn't speak or do anything other than sit there). It was just a front for a throwaway joke.
GrafSpee
It's a coincidence because Mr. Peabody and Sherman was not released until 2014 and Meet the Robinsons came out in 2007.
But that film is based on the Peabody's Improbable History segment from the 50s/60s TV show The Adventures of Rocky and Bullwinkle and Friends.
Jon Sandys ★