Yes. Some Christians do worship Mary. Even today, the abstract of that is found in churches where she is called upon as THEOTOKOS in Greek which means "Mother of God", God bearer, one who give birth to God.
There was an idea that Mary was not the mother of God and counsels tried to change her name from THEOTOKOS to CHRISTOTOKOS, or from "Mother of God" to "Mother of Christ" - but this change was rejected.