Here are the kids of I can find with father's name Rose , Mother's name Milner (or similar)
ROSE, WILLIAM MILLINER
GRO Reference: 1841 S Quarter in LIVERPOOL Volume 20 Page 311
Since George and Mary Ann Milner married in 1843 I'm not sure what to make of the above one.
"Marriage
22 May 1843 • St Marys, Eccles, Lancashire, England
George Rose, a bachelor, Baker, father, William Rose, a Weaver, married Mary Ann Milner, spinster, father William Milner, a Moulder. George & Mary were both living at Pendleton."
Add baking to George Rose's talents?
Here are the boys listed on GRO:
Name: Mother's Maiden Surname:
ROSE, GEORGE MILNER
GRO Reference: 1843 M Quarter in MANCHESTER Volume 20 Page 588
ROSE, JAMES MILNER
GRO Reference: 1851 M Quarter in BURY LANCASHIRE Volume 21 Page 373
Girls:
Name: Mother's Maiden Surname:
ROSE, SELINA MILNER
GRO Reference: 1844 M Quarter in ROCHDALE Volume 21 Page 725
Name: Mother's Maiden Surname:
ROSE, MARY MILNER
GRO Reference: 1847 D Quarter in MANCHESTER Volume 20 Page 572
Name: Mother's Maiden Surname:
ROSE, JANE MILNER
GRO Reference: 1853 S Quarter in PRESTON Volume 08E Page 420
ROSE, ELIZABETH ANN MILNER
GRO Reference: 1857 J Quarter in PRESTON Volume 08E Page 468
ROSE, HARRIET MILNER
GRO Reference: 1855 S Quarter in PRESCOT Volume 08B Page 424
Name: Mother's Maiden Surname:
ROSE, ANN TERESA MILNER
GRO Reference: 1858 D Quarter in SALFORD Volume 08D Page 53
ROSE, CLARA MILNER
GRO Reference: 1860 S Quarter in BRADFORD AND NORTH BIERLEY
A bit tedious to search the GRO manually like that but it produces results.