I have found this information about the meaning of the name Covell:
Covell is derived from English origins. The meaning of the name is from the cave on the slope. The names Covel, Covyl, and Covyll are derivatives of Covell.
† English pronunciation for Covell: K as in "key (K.IY)" ; AA as in "odd (AA.D)" ; V as in "vow (V.AW)" ; AH as in "mud (M.AH.D)" ; L as in "lay (L.EY)"