There is a second Anglican cemetery in Henry St. I have no photos but there are photos & transcriptions on the above website.
Not all the headstones are below. It is mostly the older stones on the north side, and front (furthest from entrance). For now, I have only listed name & year died, because transcribing headstones is a slow process and I’d rather use that time to post more church photos. Photos of all the headstones are available through the Northern Midlands Council Cemeteries & Burials Database.
CONSECRATION OF THE NEW BURIAL GROUND AT LYMINGTON.
(From a Correspondent.)
On Wednesday last, the 14th instant, many persons of this and adjoining localities were attracted to the above township, to witness the ceremony of consecration of the new burial ground presented to the parish by James Cox, Esquire, of Clarendon, who, besides, has built and endowed the chapel and school to which the above burial-ground is attached.
The introductory service was commenced in the chapel by the Chaplain (the Rev. W. Brickwood), followed by the Very Rev. Archdeacon Reibey, assisted by Miss Cox at the harmonium, and a respectable choral company. The usual requisition was then presented and read by the Arch deacon, signed by the surrounding residents; whereupon the Bishop rose .and delivered a most impressive address, re minding his hearers that it was not merely a formal ceremony, but that it also should tend to imply a recognition by its visitors of their Christian obligations: that in the words of St. Paul, the bodies of each one were also a temple of the Holy Ghost dedicated to the service of God, and impressing the importance of the observance in fulfilling their duty both to God, their fellow beings, and the rising generation; and also their awful responsibility in neglecting the same.
The congregation then proceeded to the cemetery, where prayer was again offered. ‘The requisition was again read and signed by the Bishop, confirming the dedication of the burial ground. Part of the 39th Psalm was sung by the congregation and children, who had numerously assembled for the occasion; after which the Bishop pronounced the benediction, and the assembled friends of early[?] Christian education retired highly delighted.
Launceston Examiner, 20 November 1860
The headstones are located behind the church of St James on Hobart Rd, which was opened in 1845. From the LINC Tasmania’s guide to Launceston Cemeteries (PDf file), the first known burial here was William Hartley in 1843
I don’t seem to be able to find any transcriptions of the headstones online.