I can see the following from census reports....not sure if this right, but matches some names you mention and the mention of Liverpool and basketmaker:

Robert Edwin Kelly (b 16 May 1890 d 1961)

Siblings
Robert Kelly: 1886-1886
Alice Kelly: 1892

Parents:
Robert Kelly 1860-1893
Jane McGinn 1855-1930

1871 census - Michael, IoM (Robert Kelly - aged 10):

Robert Kelly:
b 1860 (Michael) - d 1893 (Douglas)

John Kelly 64 (b 1806 - d 1873)
Jane Kelly 50 (b 1818 - d 1896)
John Kelly 25
Jane Kelly 16
William Kelly 13
Robert Kelly 10 (b 1860 d 1893)
Elizabeth Kelly 8

Mother Jane Kelly nee Quayle

John Kelly (1806 - 1873)
Parents
Father: Patrick Kelly
Mother: Ann

Siblings:
Jane Kelly b1805
William Kelly b 1808
Ann Kelly b 1810
Cath Kelly b 1815