Apart from Emma, the Little Marlow CD has the following births/baptisms for children of John & Ann Rose. I'm not sure they are all belonging to your couple:-
James born Feb 1823 (no exact date given), baptised 9 Mar 1823 s/o John, labourer, & Ann Rose of The Fearn.
Mary Ann born 8 Aug 1824, baptised 29 Aug 1824 d/o John, labourer, & Ann Rose of Westhorpe.
William baptised 28 May 1826 s/o John, labourer, & Ann Rose of Westhorpe.
Elizabeth baptised 23 Nov 1828 d/o John, labourer, & Ann Rose of Spring Gardens.
Charles baptised 6 Mar 1831 s/o John, labourer, & Ann Rose of Spring Gardens.
Abraham baptised 3 Mar 1833 s/o John, labourer, & Ann Rose of Spring Gardens.
Lucy born 16 Mar 1835, baptised 19 Apr 1835 d/o John, labourer, & Ann Rose of Spring Gardens.
Louisa born 21 Feb 1837, baptised 12 Mar 1837 d/o John, labourer, & Ann Rose of Spring Gardens.
John born 1 Feb 1839, baptised 3 Mar 1839 s/o John, labourer, & Ann Rose of Spring Gardens.
Catherine born 8 Jul 1841, baptised 1 Aug 1841 d/o John, labourer, & Ann Rose of Spring Gardens.
George born 12 Apr baptised 7 May 1843 s/o John, labourer, & Ann Rose of Spring Gardens.
Mary baptised 28 Apr 1844 d/o John, labourer, & Ann Rose of Cold Moorholme.
Thomas born 28 Jan 1845, baptised 23 Feb 1845 s/o John, labourer, & Ann of Spring Gardens.
Ellen born 18 Jul 1846, baptised 30 Aug 1846 d/o John, labourer, & Ann of Cold Moorholme.
both baptised 18 Jul 1852 Jesse and John children of John, labourer & Ann of Old Workhouse. ( John buried 5 Mar 1856 of well End, Cold Moorholme).
I think George & Ellen, Jesse and John may belong to another couple of the same name (there are lots of Roses in Little Marlow) but at least you can send for the birth certificates to be sure.
Jill