Exceedingly, excessively.
The chimneys were awfully given to smoking.--Carlton, New Purchase.
We give an example of the same use of this word by a popular English writer.
The Ottoman horseman, raised by his saddle to a great height above the humble level of the back which he bestrides, and using an awfully sharp hit, is able to lift the crest of his nag, &c.--Eöthen, p. 13.