Bob has been called to Pakistan to assist Dr. Miller, and Rhoda's government supervisor Dr. Foster agrees to put her in the care of Bob's neighbor Peter, who is alarmed to find that the girl of his dreams is really a computer wonder.
Meek millionaire Jonas Clay intends on leaving his fortune to a randomly chosen person, anyone but his domineering sister, and he needs Bob to certify that he's of sound mind and fit to control his own money.
It would take a computer to find the right girl for Peter, and Bob has just the tool, Rhoda. He furnishes Rhoda with information on 250 girls working at the space lab, trying to find a match for Peter.
Bob is chairman of a psychiatric clinic's fund-raising drive, and he and Rhoda call on the donor with the greatest potential: millionaire playboy Walter J. Armbruster, he takes a great liking to her and decides he wishes to marry her.
Reading Lewis Carroll's "Alice in Wonderland" has had a peculiar effect on poor Rhoda. She's afflicted with spells of vertigo, as well as difficulty distinguishing fantasy from reality. The situation is complicated by an unexpected visit from Bob's boss, who isn't supposed to know about Rhoda.
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