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for which invention did she receive first patient?
Try copying and pasting this phrase into google: "for which invention did lady edison receive her first patent?" (I am presuming you meant patent)
Or...
Browse this well written blog: http://cr4.globalspec.com/blogentry/4685/Beulah-Louise-Henry-Lady-Edison-1887-1973
The answer is: http://answers.yahoo.com/question/index?qid=20081219090002AAUd5iT