WHEN did Robert Baratheon actually rebel against the Mad King?

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Danaerys was conceived in the final mês of Robert's rebellion meaning she was born 8-9 months into His rule. The validity of this would be that Robert was in "year 1" of his rebellion, where as Danerys doesn't turn 1 until her first birthday.

por this we can assume that Robert is in the 15th ano of his rule, and Dany is closer to age 14 rather than her 13th birthday.

The TV show has slightly altered some of the main character's ages. I'm sure that it's mentioned several times in the early series that the rebellion was seventeen years atrás (I think Catelyn mentions it when she talks to Ned about Jon Snow). This would match up with how Danaerys actually looks in the series - she could pass for being 17 or 18 years old, but is certainly not 13 or 14!