I'm almost 5'10". With my first, my water broke, and she was born 27.5 hours later. Probably 12 hours of active labor, an hour of (unnecessary) Pitocin. I asked for an epidural a lot during transition (when I went from 4-10 in about an hour) but my husband and best friend managed to wrestle me through without it. I'd had a LEEP procedure done at age 19, about 9 years before she was born, so maybe that contributed to the labor.
With my 2nd, I had a homebirth, less than 4 hours of active labor.
I have a teeny tiny, very short friend who had her first son a little early (he was fine) in about 5 hours naturally, who had a natural birth with her twins and IIRC it was 2 hours from start to 2nd baby.
I think there might be some kind of correlation with the height thing, but it's too complex an issue to determine causation.