So my wife grew up around Vancouver, Washington, USA. Every once in a while she will say words in peculiar ways that I have jokingly taken to call her "Warshington accent" because it makes the beginning of "Washington" sound like "War". That said, I have never actually heard or read anyone else bring up this accent outside of her family; but I also don't know where I picked up the term either, because I certainly knew it before we met. Am I just picking at my wife/in-laws particular peculiarity, or is this actually an accent?
Besides me personally teasing her about a random vowel change in her accent here and there, I have noticed a consistency in adding an "r" sound to many words. Examples are of course "Warshington" (Washington) like above, but also "propersal" (proposal), and "suffercate" (suffocate), and more along these lines. I sometimes joke that Washington took all of the Rs that Massachusetts didn't want.
Interestingly enough, when I have teased her about it and tried to help her say the same words more clearly she has still managed to keep the "r" sound in nearly the same spot, but these words now sound more like "proprosal" and "suffricate". I am certain she isn't just messing with me because she legitimately gets upset with me for bringing it up now.
Other than these particulars, her accent sounds like a pretty standard West Coast US accent. I myself lived in Portland, Oregon (which is just across the river from Vancouver) when I was young. I never picked up this accent, nor really noticed it as a kid, but my wife's parents are from Tacoma, Washington, which is much more inland and may have an affect on that.
UPDATE: After describing the Midland accent and the intrusive "R" to my wife she responded with,
"Ha! now you can't make fun of the way I talk. HA HA HA HA!"
I immediately replied with,
"Don't you mean HAR HAR HAR HAR..."