Another cemetery!
The most bizarre name I spotted while reading through headstone inscriptions from Copp’s Hill Burying Ground (est. 1659) was Tickleemanbeck:

Is that a surname or a first name? Or, was this a mononymous person? A Native American, maybe? I have no idea.
The rest of the more unusual names weren’t all that unusual, really, given the time period. Most of these occurred just once in the records:
- A: Achsah, Ales, Almeda, Ammi, Annis, Aquila, Archibald, Artor, Asahel, Avis
- B: Bethesda, Buckland
- C: Cornelius, Cotton (Cotton Mather), Christiana, Christon, Custin
- E: Edee, Eliphal, Ellsy, Esdras
- F: Flora, Fortesque, Furnell
- G: Gershom, Gibbins, Goodeth
- H: Harbottle, Hemmen, Henretta, Hephsibah, Hezekiah, Hindreh (called Henry in other records), Holland, Hopestill, Hotton
- I: Increase (Increase Mather)
- J: Jemimia, Job, Joses, Judet
- K: Kathron, Kezia
- L: Lettice/Lettuce, Love
- M: Mehetebel/Mehitabel
- O: Obedience
- P: Palsgrave, Pelatiah, Philander, Prissilah
- R: Rosetta
- S: Seeth, Sewall, Shem (Shem Drowne), Sibella, Silvanus
- T: Tamazen, Temperance, Theodocia, Tickleemanbeck
- W: Willmoth
Finally, here are two earlier posts with names from two more historical Boston cemeteries: King’s Chapel (est. 1630) and Granary (est. 1660).
Sources:
- Epitaphs from Copp’s Hill Burial Ground, Boston (1851) by Thomas Bridgman
- The Graveyards of Boston, First Volume, Copp’s Hill Epitaphs (1878) by William Whitmore