That's interestin'. In all the versions I knew, the word was "pow" though the meaning is the same -- head or forhead, and I learned "leeze", meaning "lay". So the line is asking Dainty Davey to "lay on me your curly head".
I don't know the version you're doing, Andreas, and that sounds a bit like a generic first verse.(Maybe borrowed from "I'll go no more a-roving").
The version I am familiar with is in DT under [Dainty Davie].
The third line makes me wonder if Davey was IN the "light brigade".
Blessings,
Barbara