Unfortunately very little is known about our Lynch family. The only evidence we have as to William's first name is a baptismal record for a Jane Lynch (most likely "our" Jane below), baptised in 1836 in the parish of SS Michael and John in Dublin (near Christchurch Cathedral), which gives the father's name as William. It's thought our Lynch family may have had Galway connections.
Note: The Lynch surname, one of the most common in Ireland, is unusual in that it comes from two distinct sources. The first of these is the Norman 'de Lench' family which settled in Co. Meath, a branch later establishing itself in Co. Galway where they rapidly became one of the strongest of the famous Tribes of Galway. The second origin of the surname is the Irish 'Ó Loingsigh', meaning 'seamen'. Considering the importance of the sea in Irish life, the surname arose quite separately in a number of areas, including Clare/Limerick, Sligo, west Cork, Cavan, Donegal, and the north Antrim/Derry region.