The online search facility also allows you to search for records by date. In situations where only a partial date is known, you can search accordingly (e.g. for March 1867, enter 03 in the month box and 1867 in the year box). All records containing that date in one of the date fields will be presented.
Please note that in some cases the date of birth is included in the baptism record and the date of death in the burial record. These date fields are also searched.