Read Aldrich Name Meaning & Aldrich Family History (ancestry.com)

English: from a Middle English personal name, Ailric, Alrich, Aldrich, etc. (Many different forms are recorded.) It represents the coalescence of at least two Old English personal names, Ælfric ‘elf ruler’ and Æ{dh}elric ‘noble ruler’.
Source: Dictionary of American Family Names ©2013, Oxford University Press