If you search for a hamlet ore a village on Danish map using MF search, you will not always find it.
There are two ways to map hamlets or villages, 1) as a note, 2) as an area. Please have a look at http://wiki.openstreetmap.org/wiki/Key:place.
If hamlets / villages are mapped in OSM as a note you can find them by MF search, and you can see the name on the map.
If hamlets / villages are mapped as an area you can’t find them by MF search, and you can’t see the name on the map.
Examples:
Denmark , Suldrup. Denmark Ravnkilde – mapped as spot
Denmark, Vester Hornum. Denmark, Vinderup – mapped as an area
There are a lot of hamlets and villages mapped as an area so I hope it is possible for you to change the maps, so this problem can be solved.