The meaning of a Chinese inscription found under a little sculpture
A Chinese seal usually follows the format of XX之印 “The Seal of XX” or XX制印 “The was made by XX” (where XX is a name). This seal follows the latter format. 

The top part probably is the name of the seal maker and the upper part of the top-right character is 林. The bottom two characters are most likely to be "制印", meaning "made the seal". Will complete this answer after finding out/confirming all the characters on this seal.

Seal carving dictionary:

http://www.internationalscientific.org/CharacterEtymology.aspx?characterInput=%E8%BB%8A&amp;submitButton1=Etymology