George Weech and Phoebe had five children that I can find: George (1828), Elizabeth (1831), Charlotte (1834), Emma (1835) and William (1840). The first two in Liverpool, the latter two in Stepney, London, then William back in Liverpool. Normally I'm very suspicious of such movements and assume two different families have been conflated but here it might be correct. William does have a mother's maiden name of "Tyrer" on gro.gov.uk and this website claims his father George married Phoebe Tyre: https://www.findagrave.com/memorial/192724154
"England Births and Christenings, 1538-1975," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:JWJ5-BG6 : 11 February 2018, George Weech, 06 Oct 1828); citing , index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 0093877-0093879.
"England Births and Christenings, 1538-1975," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:N5GT-RQS : 11 February 2018, Elizabeth Ann Weech, 13 Jun 1831); citing , index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 0093877-0093879
"England Births and Christenings, 1538-1975," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:JW8N-5QX : 11 February 2018, Charlotte Ann Weech, 22 Jun 1834); citing , index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 596,913, 596,914, 596,915, 596,916
"England Births and Christenings, 1538-1975," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:JWZL-F57 : 11 February 2018, Emma Weech, 24 Aug 1835); citing , index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 578,791, 578,792
"England and Wales Birth Registration Index, 1837-2008," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:2NSW-YL5 : 1 October 2014), William Weech, 1840; from "England & Wales Births, 1837-2006," database, findmypast (http://www.findmypast.com : 2012); citing Birth Registration, Liverpool, Lancashire, England, citing General Register Office, Southport, England