Emulsion is water based and should be tacked immediately with water ( most emulsion paint say this on the tin )
Gloss paint is usually oil based and should be treated with white spirit be VERY careful using this on carpet as it can cause reaction to the latex backing dab it with a clean cloth working inwards.
You can also try water base Nitromors paint remover, again be VERY careful using this as it's not ment for use on soft furnishings.
More gloss paints these days are becoming water based and can be treated as emulsion, again look on the tin to find how to clean your brushes that will be your solution.