I am 5'3", a 12/14 in most stores, and had a child two years ago. I desire jeans that look modern and stylish, yet flatter my curvy frame. These are BY FAR the best jeans. I don't think they have a name like other NYDJ styles - these are different from the "Marilyn" which is another straight leg style from Not Your Daughter's Jeans. For me, this specific style is almost my Holy Grail of jeans.
I got my first pair in this style from Nordstrom. At the time I was a size 16 and based upon reviews, ordered a 14. These are higher-rise jeans (they come right to my belly button) so no problem with muffin top from snug-fitting jeans. Unlike most other jeans, these are super comfortable, even when snug (seriously, they rival my yoga pants). You want them snug, they will give during the day, and it will help suck things in and give a smooth look to your belly and a bit of lift to your bum.
Though they are a bit snug with first wearing in the tummy/torso area, the legs are perfect. They skim the hips and thighs, and then have a slim but straight leg from knee down. They look great with ankle boots, heels, and even work well tucked into tall boots. As a 5'3" woman they are a bit long (can't wear with flats or kitten heels), but the petite I find too short to wear with any heels. I find on me, they are the perfect length (1/2" from floor) with 3" heels, and if you pop them in the dryer with first washing, they will shrink up another half inch or so.
My first pair of these jeans completely wore through. I was foolish and put them in the dryer, which breaks down the Lycra in these jeans. I ended up literally with holes in the crotch and inner thighs of the jeans.
Since I have lost weight since my original pair, I ordered these from Amazon in a 12. Same color and silhouette as the original ones I got from Nordstrom, and the 12s are perfect now that I am a 12/14. This time, I will be line drying my jeans to preserve the Lycra!