Welcome to the forum , MissyL .
Nice , rather stylized/whimsical elephant themed item (but maybe the real elephant wasn't feeling so whimsical , when taken from him) .
I'd guess 1920's to 1930's , from only your images , and ivory too .
Since heat & light , esp. in close proximity , will damage your items' ivory , perhaps this one bulb lamp should be more or less kept turned off , since it's on it's way towards being an antique soon-ish .
These normally had a metal sleeve between the light-bulb base & the bakelite base (yours is missing one) .... other than that , it looks complete .
Thanks for posting your cool little item here !