Of the king or noble ruler
Delrico is a modern American elaboration likely combining the Spanish prepositional phrase 'del' (of the) with the name Rico, which is a diminutive of Ricardo. It carries the connotation of being associated with a powerful or wealthy ruler. While rare, it follows the rhythmic pattern of other established Romance-influenced names.
Less common today
Delrico isn't in the latest US Top 1000. It last peaked at #3,881 in 1990.
US births per 5-year period, 1990βpresent (SSA data).