There are several conflicts in this book, and that is part of what has made it so successful. One of the main conflicts of the book, however, is whether Henrietta's family should have been given some control over her cells and once those cells were generating profits as a result of research, if money should have been paid to her family.
Henrietta's cells were taken and used for medical research without her informed consent, and then that same research resulted in vaccines, treatments, medications, and so on that have all yielded the manufacturers a great deal of money. Henrietta died before she would have ever been able to benefit from those proceeds, had they been offered, but her family was very much alive and could have benefited from some of the monies her cells helped to generate. In other words, hundreds of thousands of people benefited from the research done with Henrietta's cells, but her family had no idea they were even being used. Meanwhile, many of them struggled financially to make ends meet, often going without their own proper medical care. This leads one to question whether or not the donor of the cells or the surviving family have any right to compensation for the use of those cells.
This conflict is not unique to Henrietta and her family, however. Survivors of other major research studies, like the Tuskegee Syphilis Studies were never informed or compensated either, for example.
Fortunately, as a result of this book, the Lacks family has now been given limited rights to the HeLa cells and how they may be used in research.