Welcome to DC. The coarse texture has me puzzled. I was going to say it sounds like a certain dinner roll. According to Bernard Clayton, Jr., "The eight most popular dinner rolls are Parker House, bowknots, rosettes, butterhorns, crescents, cloverleafs, fan-tans and pan rolls." To me it sounded like a Parker House roll but those are light and fluffy but the butter and shape is correct.
Anyone else know?