Hi I'm researching the Ledger family of Sheffield as well. I noticed that you have Joseph Ledger born 1807 which I have as a connection on my tree. Below is the basic outline of the family line that I've traced so far which I can expand on with further information if it is of interest to you. Matthias Ledger and family is sketched in at the moment awaiting more concrete evidence. Included below is JOSEPH LEDGER who you have mentioned born 22 Jun 1806.
MATTHIAS LEDGER (House Painter) Married Martha Heesome 14 Aug 1727 Rotherham Children born Rotherham George Ledger 1727 Joseph Ledger THOMAS LEDGER 1732 Mary Ledger 1734 Elizabeth Ledger 1739 John Ledger 1742 Ann Ledger 1748
Thomas Ledger 1732 married 4 Nov 1759 Sheffield Nancy Greaves 1739 Sheffield (father John Greaves) Children Samuel Ledger 1761 Sarah Ledger 1763 Hannah Ledger 1765 Thomas Ledger 1768 William Ledger 1770 George Ledger 1772 John Ledger 1774 JOSEPH LEDGER 1777
Samuel Ledger 1761 married 8 Apr 1782 Sheffield Catherine Revill (Sheffield Park family line of Ledger) Children John Ledger 1784 Ann Ledger 1786 Samuel Ledger 1788 Jane Ledger 1791 Martha Ledger 1793 George Ledger 1796 Hannah Ledger 1799 Joseph Ledger 8 Dec 1804 Mary Ledger 8 Dec 1804 Hannah Ledger 5 Mar 1809
Joseph Ledger 1777 - 1844 married 7 Dec 1800 Sheffield Ann Ashton 1784 Sheffield Children John Ledger 15 Feb 1802 - 1886 (my great x3 grandfather) Hannah Ledger 1804 JOSEPH LEDGER 22 Jun 1806 James Ledger 18 Apr 1808 Charles Ledger 05 Mar 1810 Mary Ledger 1814 Harriett Ledger 1816 Edward Ledger 1819 Eliza Ledger 1823 Jemima Ledger 1826 Frederick William Ledger 1829
Please let me know if you would like details of what I've collected so far.
Also I would be pleased to hear from anyone with connections to the family with further details.