A great place for breakfast in Jieshou (介壽) on Nangan (南竿). The morning market opens for business at 5am and vendors run until they either sell out or around 9am to 10am.
The front entrance to the morning market is located across from the park and temple
You can also enter from this nondescript alley way across from the 7-11 and Dory Inn
take the stairs up to the second floor for more vendors and a small restaurant area
second floor of the morning market
A must have from the morning market ise Ding Bian Hu 鼎邊糊 from A-mei's Store (阿妹的店) (NT$65). The soup is made from fish mixed into a paste and formed into noodles. A-mei's Store can be found on the right after you come up the stairs (there are signs all around).
A-mei's Store (阿妹的店)
a bowl of Ding Bian Hu (鼎邊糊)
Other typical Taiwan breakfast items are available from other vendors as well