Meanings of highly laudatory in английском

Here are a few sentences from a highly laudatory notice in the well-known Neue Preuss.

The Colonel admired his voice and sentiments not the less, perhaps, because the latter were highly laudatory of the good man.

Another feminine compliment paid him was a highly laudatory poem which was enclosed to him, with a letter begging forgiveness, to which he playfully answered,-

'I think that saying prayers before each mission is a very moral and highly laudatory procedure, sir,' he offered timidly, and waited.