It's important to recognize that when older texts lack author attribution, it could be a result of various reasons. In the 18th and 19th centuries, especially during the time when the poem is believed to have been written, anonymity was not uncommon in literary circles. Authors might intentionally choose to remain anonymous for a host of reasons, including concerns about reputation, fears of societal backlash, or a lack of societal recognition for women writers during that period.
Without additional historical records or information, it becomes difficult to pinpoint the exact author of "A funeral poem on the death of CE an infant twelve months." As such, the author remains unknown, and the poem has become a compelling example of the enigmatic nature of literary works in history.