vcov returns a matrix. Corr returns a list, for the different random effect terms. For each random-effect term, the returned element is a non-trivial unconditional correlation matrix of the vector “v” of random effects (v as defined in see Details of HLfit) for this term, if there is any such matrix. Otherwise the returned element is a information message.
VarCorr returns a data frame with columns for the grouping factor, term, variance of random effect, standard deviation (the root of the variance), and optionnally for correlation of random effect in random-coefficient terms. Information about the residual variance is included as the last row in the data frame, when relevant (gaussian- or Gamma-response models with single scalar parameter; beware the meaing of the residual variance parameter for Gamma-response models).