Robert was alive in 1834 in Little Bolton, as he had a daughter Elizabeth in 1835. He had probably died by 1851, probably before 1841. There are 4 Robert Chadwick deaths in Bolton 1834-1854, but none can be him.
Buried 31 May 1843 - This was his son, aged 2 months.
Death Q4-1838 (GRO Ref 21,97) - Aged 1
Death Q4-1846 (GRO Ref 21,166) - Aged 38 (too young)
Death Q3-1852 (GRO Ref 8c, 195) - Aged 0 (i.e. Infant)
If not Bolton, then possibly Bury:
Name: Robert Chadwick
Gender: Male
Age: 33
Birth Date: 1795
Burial Date: 05 Apr 1828
Burial Place: Heywood, Bury, Lancashire, England
FHL Film Number: 1545473
Reference ID: it 2, p 240, rn 1916