A baronetcy is passed down through family, usually from father to son. After his father's passing, Henry became the holder of the family baronetcy.
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British Origin
Baronetcy is a British hereditary honor and not used in all English-speaking countries. My uncle holds an old English baronetcy that dates back to the 1600s.
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Non-Peerage Title
Although noble, a baronetcy is below the rank of a lord and not part of the peerage system. Being a baronet, he couldn't sit in the House of Lords, but he did have a coat of arms.