I haven't followed this long enough to be absolutely sure it's your Hannah, BUT it looks like a possiblity:
In the 1841 census, two of their children, Henry, and John, are living with a cordwainer William Farmer and wife Hannah.
There is a marriage in 1835 Manchester for a widowed William Farmer, shoemaker, and widow Hannah Judson.
There is a death for a Hannah Farmer in 1845, but the GRO indicates an age of 59, so not her.
There is a marriage for William Farmer's daughter, Hannah Farmer, in 1847 to Henry Murray, and in the 1851 census, this Henry and Hannah are living in Manchester, with some Farmers, occupation shoemakers, living with them, described as brothers -in-laws. The marriage parish record does not indicate if William is deceased.
So in summary, John died prior to 1835. Hannah remarried William Farmer in 1835, and her sons are with her in 1841. I have not yet located William and Hannah in 1851 census, assuming they are still alive.
It needs more poking around to see if it holds water, but it could very well be your Hannah.