This pony is named Banana Muffin. I based this off of Derpy's mother from Rainbow Dash Presents Bubbles and the Dinkysharkfighter32 series. I prefer these depictions of Derpy and Dinky (however comedic) over the ones most fans like. It seems more realistic that Derpy's mother would be a bit more well-characterized than most depictions.

Anyway, RD Presents Bubbles and the Dinky series (which are not mine, by the way) show her as an all-yellow mare who bakes. She can get pushy sometimes but she's still Derpy's loving mother. She apparently like to bake 'purple muffins', shown in the series as blueberry muffins, but I think they're elderberry (since those can be harmful if not cooked correctly and the barfing joke kinda fits with that).

So yeah, she's from a comedy series, but I kinda think her story could have more depth to it.