One famous drawstring money pouch often seen in Roman re-enactment is based on the original found at Bargercompascuum (Netherlands) in the 1950s. It contained over 300 denarii, which suggest a dating of the artifact from late 2nd to early 3rd century AD.
The size of about 22 x 26 cm makes it one of the smaller drawsting pouches in the archeological record, but already it could contain quite some coins.
The original pouch has been made out of thin goat or sheep leather and was decorated with tooled lines, which also helped to fold the pouch into shape. Inside the pouch a small sheet did divide the lower part of the pouch into two compartments.
Source
Schlabow, K. Der römische Münzschatz von Bargercompascuum (Drenthe). II. Der Geldbeutel. Palaeohistoria 5, 1956: 81-87.