Another picture from the Military Through the Ages event in Fayetteville a couple weeks back. This artilleryman is from the Locke's Militia & Kingsbury's Artillery group near Salibury, NC.
The artillerist here has what can almost be considered a universal uniform for the branch - dark blue jacket with scarlet facings. Both Continental and British artillery wore very similar uniforms, in contrast to the infantry. This soldier's uniform is representative of the regular Continental Army in the later stages of the American War for Independence.
As a note of interest, the artillery of the time also carried infantry gear and were expected to fight in that capacity when needed. This is unlike ACW artillery who normally didn't carry infantry gear and had to be geared and trained to fight in an infantry role. I think the exception to this was the Heavy Artillery, who were already acquainted with infantry or infantry-style drill. I'd like to hear from someone who has a bit more knowledge on this.