Milling and catching devices

A milling system may be used to remove the portions of a failed valve that is blocking the wellbore. When milling a partially open valve obstructing the wellbore, the target material to be removed may not be present at the central axis of the wellbore causing the target material to not fully surround the milling bit, which may cause the bit to be deflected away from the target during milling reducing milling efficiency. The disclosed milling system may be used to mill out and capture the coupon for any downhole obstruction that does not have any material near the center axis of the wellbore. A first embodiment of the milling system may be configured to fully mill out material within the wellbore while a second embodiment may be used to mill out material within the wellbore and further catch the milled material or coupon.