I got loads of suggestions last year when I was looking for a team name. Most of them were connected to the name of the yard and village where the horse are kept though. The only general ones are:
Two birds and two blokes
Blink and you'll miss us/ Blinking fast
The Newcomers
Bad Intentions
The Tail Chasers
Some of my favourites from previous/existing teams -
Feckenham Pheasant Pluckers
Pistol Knights
Norfolk N Chance
Which Way Now (if you've ever seen an open TC, you'll understand this!)
Incorporating a yard/village name can often provide inspiration, and tongue twisters are always fun for everyone except the commentator!
Let us know what you choose and we'll look out for them - Warks or Heythrop?