Hi Wings
I have several different 1851 Suffolk census indexes but I'm afraid that there is no sign of a Henry of around the right age.
The following parishes are missing believed lost in 1851; Dalham, Exning, Gazeley, Higham, Lidgate, Newmarket St Mary, Moulton & Ousden.
If he was living in any of them, then I'm afraid that you may never find him.

Rick
