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Webster 1913 Edition

adv.

In a glowing manner; with ardent heat or passion.

adv.

With great brightness; with ardent heat or passion.

glowingly ‎(comparative more glowingly, superlative most glowingly)

In the manner of something that is glowing.
The spark hung there glowingly, then suddenly went out.

- 1749, John Cleland, Fanny Hill: Memoirs of a Woman of Pleasure, Part 4
  I lay stretching out, glowingly alive all over, and tossing with burning impatience for the renewal of joys that had sinned but in a sweet excess
With enthusiastic praise.
He praised her glowingly; it was enough to make her blush.