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Below is the curator's comments from the British Museum:

This drawing is probably related to the etching (dated October 2nd 1758) made by George Edwards in his ‘Gleanings of Natural History’, volume II, plate 310, where he wrote: “The specimen from which I drew [this likeness] was a stuffed skin, set up in the attitude represented by the figure. [...] This animal was brought from Honduras in America, and I believe is found all over those parts of South America, that are not many degrees distant from the equinoctial line. It was the property of the late Lord Peter [i.e. Petre].”

It is also probable that the naturalist Peter Collinson refers to this drawing in a letter to Sir Hans Sloane dated 20 June 1734, which Sloane received in his capacity as President of the Royal Society, and in which Collinson wrote: “I Presum’d It might not be unacceptable to You & the Rest of the Gent[leme]n [i.e. of the Royal Society] to see a Sloth. It is well preserv’d. It came last from Jamaica but I conclude it is no Native of that Island because not mentioned in yr Natural History. Mr Edwards has taken a Draught of it.” [This letter is referenced in Arthur MacGregor, ‘The natural history correspondence of Sir Hans Sloane’, Archives of Natural History 22 (1995), p87, however MacGregor gives no indication in which manuscript of Sloane’s correspondence in the British Library the letter is contained.]

Source: https://www.britishmuseum.org/collection/object/P_SL-5261-28