Don't say:
Becky played a good play of chess.

Say:
Becky played a good game of chess.

Note:
Some verbs and nouns do have the same form and analogous meaning in English The police fight a hard fight Heather dreams long vivid dreams. If you lie the he will catch you out' The company danced an African dance However, we seldom use the word like this. Usually we try to avoid it in some way: She fought a long battle with them. If you lie you will be caught out The company did an African dance.