William Williams born Cyffylliog, Denbighshire

[Ptbo62]

I am looking for information, (and any methods ) regarding my ggg grandfather william Williams, a miner, born about 1798 in Cyffylliog, Denbighshire. (so says the 1851 census). He married Jane (maiden name unknown), and had at least 4 children. Ebenezer ( my gg grandfather b 1842 Dymeirchion ),John Williams ( b 1840, Dymeirchion) and Jane Williams (b,1835 Newmarket) and Margaret Williams (b. 1833 Newmarket).
The 2 girls seem to be in Liverpool in 1861 as a niece to Thomas and Sarah Burt. Sarah was born in Dymeirchion about 1810.

Thank you for any asistance you can provide.