Thanks for the taxonomy. As an Episcopalian (what I used to be) I was taught that communion was for the baptized. Is there one or are there many Baptist thoughts about the relationship between being baptized and participating in communion?
Baptism is an act of obedience to God. An outward symbol of a heart change. You must be a true believer to take communion or you bring judgment upon yourself according to scripture. Some Baptist churches have closed communion where only baptized church members take communion. Others have open communion where Christians of other denominations may participate in their communion service also.
I have never heard of any Baptist church that would permit someone not previously having been baptized to participate in communion. But because each individual Baptist church is autonomous, it wouldn't surprise me to find a few liberal Baptist churches that would.