In an article interviewing an actress, it describes:
She did not actually write the speech but lapped up every word in her deliver. "They were so worried about me because I was laughing so much... They came and said, 'Now, don't laugh when you say it.
i know that lap up means eagerly receive, but what does it mean in this context? Than kyou.
It is not a good sentence.
As you suggest, to lap up something means to eagerly take it. I think what the writer is trying to suggest is that the actress was putting too much emotion/feeling into her speech and overdoing it [so much that she was laughing at her own delivery of the speech. She was hamming up her delivery.