Hiya

Don't have the 1841, but here are William and Sidney in 1851
HO107 2130 23 39
Castle Place Lenton
William Hopkin head wid 51 shopkeeper Notts Strelley
Sarah dau 30 Strelley
Henry Edwin son 20 Radford (as were others)
William Frederick son 18
Sidney Thomas son 16
William James son 13
Louisa Hopkin grand dau 6
William James grandson 3 months
The two sons named William are not a mistake. Here are some baptisms from the Notts FHS index
Record PLACE DATE BORN CNAME FNAME MNAME FSURN MSURN ABODE PROF
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178356 RAD 11/01/1824 Joseph William Phebe HOPKIN Radford FWK
179900 RAD 01/03/1829 Amander William Phebe HOPKIN Radford Lace Maker
180509 RAD 19/12/1830 Henry Edwin William Phebe HOPKIN Radford Lace Maker
181270 RAD 13/03/1833 William Frederick William Phoebe HOPKIN Radford Lace Maker
182024 RAD 12/04/1835 Sidney William Phebe HOPKIN Radford Lace Maker
182025 RAD 12/04/1835 Thomas William Phebe HOPKIN Radford Lace Maker
182970 RAD 27/08/1837 Henry William Mary HOPKIN Radford FWK
183070 RAD 07/01/1838 William James William Phobe HOPKIN Radford Lace Maker
183395 RAD 18/08/1839 Harriet William Ann HOPKIN Radford FWK