contrary to what some have probably experienced, the Touchstone also works with a battery charger from Samsung. I tested this with both the charger from the Galaxy S and Galaxy S2. These plug is smaller than that of an original HP charger, and can take a lot easier.
To "No-Name" or other chargers I can not say anything because I do not have those at hand. In such I think it is mostly also fail the connector size, since these are usually larger than the recess in the Touchstone.