MCMCglmm multivariate meta-analysis with covariance

I'm interested in fitting a multivariate meta-analysis model with
correlated measurement error. This means fixing the error to a covariance
matrix per row.

I saw this post
<https://stat.ethz.ch/pipermail/r-sig-mixed-models/2013q2/020180.html> on
the mailing list about non-correlated outcomes, but the noise correlation
is too large to ignore in my use case. Professor Hadfield implies in the
post that it is possible but "complicated". Does anyone know how to do it?

Thanks!
Jon Bischof