On the 1830 US census, I found this entry: 115 Ridgewood Ave, Joliet, Illinois Edwards, Samuel M. Head 41, age at marriage 24, Born England, Parents born England, Emigrated 1923, Tender in Steel Mill Edwards Jane Wife 41 Born England, Parents Born England Edwards Vincent Son 12 Born England, Parents Born England Edwards, Frances Dau 8 Born Illinos, Parents born England
On the Ellis Island Web site there is a record for Samuel, Jane and Vincent arriving in New York on September 5, 1923 on the ship Olympic from Southampton. They were headed for Samuel's sister, Mrs. Sarah Jeffrey, Braidwood, Illinois. You can find this record at www.ellisisland.org You have to register but it is free.
On the 1901 census for England is the following family. I believe this is your Jane.
Darlaston, Staffordshire, 1 Mile Hall Rd. William H. Keay Head 44 General Lab Staffs, Sedgley Mary Keay Wife 43 Staffs, Sedgley Minni Keay Dau 22 Staffs, Sedgley John T. Keay Son 20 Staffs, Sedgley Henry Keay Son 15 Staffs, Darlaston Sampson Keay Son 13 Staffs, Darlaston Charles Keay Son 11 Staffs, Darlaston Jane Keay Dau 9 Staffs, Darlaston Vincent B. Keay Son7 Staffs, Darlaston Violet Keay Dau 4 Staffs, Darlaston RG13/2693 Folio 72 Page 7
I can't find a birth cert record for Jane but there is one listed for Sampson December q 1887 Walsall 6b-607. You can order the cert on line from: http://www.gro.gov.uk/gro/content/http://www.gro.gov.uk/gro/content/ This will give you Mary's maiden name.
You would need to find the marrage cert for Samuel and Jane in order to confirm that Jane's father is William.