The 48-year-old woman was found in the cellar of the church in the "Of the Holy Family" community church in Braunlage near Goslar, Lower Saxony. Police said on Sunday night that she was clearly the victim of a violent attack, but would not release further details, Der Spiegel reported.
Her 51-year-old husband was arrested in southern Germany after visiting a police station with a 12-year-old daughter and 20-year-old son. All three were held by police. A Lower Saxony radio station said the dead woman was mother to ten children.
Braunlage state prosecutor Julia Meyer said on Sunday that two flats in the town were searched after evidence had been collected from the cellar.
Further details are expected to be released once a post-mortem examination has been conducted on the woman.
Vergers act as caretakers to their churches and prepare religious ceremonies, taking care that candles, flower arrangements and liturgical equipment are prepared and in order.