I can find no trace of a place name Yeamans, but there is a town called Yeovil, a River Yeo and another town called Yatton (possibly originally Yeotown?) all in the old county of Somerset (now Avon), which is adjacent to Bristol.

A yeoman was a man who held and cultivated a small estate worth more than 40 shillings a year, and was thus qualified for jury service. The word also described a servant in a royal or noble house, or a member of a group of fighting men who could be called on by the king. The Yeomen of the Guard or Yeomen Warders are better known as "Beefeaters", as in the Tower of London, and are part of the sovereign's bodyguard.

In Middle English, I believe that "yeo" indicated a man who lived by a river. It could be that the River Yeo is tautology!

Don't know whether this helps, but it was fun researching!