The only William Izods that appeared in search results in the A databases were all in England. I did find this entry for a William and Jane Jzod (the original really does look like Jzod, not a transcription error) as follows:
1871 census - West Kensington Hotel, Kensington, London
William H. Jzod, head, married, 55, manager of hotel, born New York, USA
Jane Jzod, wife, married, 59, born Hackney, Middlesex
Emily Clara Jzod, daughter, unmarried, 19, barmaid, born London, Middlesex
The others listed with them are boarders and servants.
I couldn't find them on the 1861 census even by searching Jzod, Tzod and just searching for Williams born in the USA/America/New York and any other way I could think of.