At the centre of this village is the four arched, late medieval pack-horse bridge crossing the river Kennett. Horses are in the blood of the village, with strong links to nearby Newmarket. The parish was a "peculiar" under the control of the Archbishop of Canterbury's Peculiar Deanery of Bocking and not the Diocese of Norwich like most of the county.
The packhorse bridge dates from the 15th century and is one of the oldest in the country. It's long been bypassed by a ford, though the stream is generally dry, so you're unlikely to get your feet wet.
An Admiralty shutter station stood close to Warren Towers at the boundary with Newmarket (TL 664 639). It was part of a chain of such stations relaying signals between the Admiralty in London and the fleet based at Great Yarmouth during the Napoleonic wars.
Moulton was recorded in Domesday as Muletuna.
The 1891-92 White's Directory also lists William Blinker as a beer retailer.
The 1922 Kelly's Directory also lists Frank Debell and Joseph Sloanes as beer retailers.
Some historical information from English Heritage's National Monuments Record.