William Wilcox to United States in 1855

[tawilcox]

I am Tom Wilcox fron Arizona, USA. My great grandfather was WILLIAM WILCOX who was born on 1 Oct 1836. He left England on the ship QUICKSTEP and arrived in New York City on 24 Dec 1855. By 1857 he married Jane Dowdrick and resided in West Covington, Kenton County, Kentucky. He was an Iron Worker. The family belonged to St Ann's Catholic Church. His father was James Wilcox and his mother was Eliza. The 1841 English census indicate that a family from Civil parish Dudley, County Worcestershire, might be this family. The 1851 Census shows that this family might be listed in Poplar, Middlesex. I lost track of them looking in the 1861 to 1881 Census.
I am looking for some type of document showing his departure from England. I am still trying to match the right James/Eliza Wilcox English family. Is there any type of English migration document that might indicate his family in England?

[Waitabit]

Deaths Mar 1865
WILCOX James Poplar 1c 521

Deaths Jun 1871
Wilcox Eliza 63 Poplar 1c 421

Not quite what you asked for, but have you followed siblings & tried to contact any famiy of said sibs?