I just started on the Hopkinson branch; having had so little to go on it seemed hopless, till last week I found my ggg-grandmother with two siblings on a ship manifest in 1831. Bingo!
Their parents were William and Mary [maiden name unknown] Hopkinson, born about 1772 in Derbyshire. Something I happened across recently told me to keep an eye out for North Wingfield, though that could be a red herring.
William & Mary's five known children, all christened in Alfreton between 1807 and 1817, were Michael, Rebecca, Francis, Ann and Maria. The middle three siblings were the ones who emigrated to America in 1831 (Ann was just 16, and Rebecca was already the widow of John Taylor; she brought her young son William with her to America). Ann later (1837) married Charles Stevens in Frankford/Philadelphia, and they and later Francis ended up in Astoria, Oregon by 1870.
Francis (then 18) listed himself on the 1831 ship manifest as a "taylor," but as of the 1870 census he was calling himself a "professor of music."