Hello!
Just want to mention that the problems you are having with Ancestry is because the normal records for Markaryd simply aren´t available (by any means) for those years because of fires and the like, so it's always a problem when dealing with Markaryd.
Anyway, I think I have found the family in question.
Looking in the SCB records for 1860, the G Svensson mentioned by Lars-Ola, born 1838, can be found [Statistiska Centralbyrån (SCB) - samlingspost, Primärmaterial, utdrag ur husförhörslängderna, SE/RA/420401/03/H 1 A/42 (1860), bildid: A0056049_00444] however there is another G Svensson in Hannabad on the next page A0056049_00445 who seems more likely, in the following family:
G Svensdotter [noted as widow], torpare at Pehrsbacken born 1811; A Svensdotter born 1833, J Svensdotter born 1835 and G Svensson born 1838.
The family can be found in Pehrsbacken under Hannabad Hulegård in 1833-1837 [Markaryd (G) AI:8 (1833-1837) bild 228 / sid 217 (AID: v19086.b228.s217, NAD: SE/VALA/00245)]
Swen Gunnesson [changed from Gunnarson] born 1800-03-05; Wife Gustafwa Swensdotter born 1811-07-22; Daughter Anna born 1833; Daughter Johanna born 1835-02-11.
The husband of Gustawa apparently dies in 1841-07-13 [Sunnerbo häradsrätt (G) FII:38 (1842-1843) bild 122 / sid 239 (AID: v76243.b122.s239, NAD: SE/VALA/01582)]. Likely in Pehrsbacken but the estate only says "under Hannabad Hulegård". He is said to have left his wife Gustawa Swensdotter and three children, namely daughters Anna, 9 years of age, Johanna, 7 and son Gunne, 3. Another thing to note [when going further back] is that one of the custodians [uncertain if that is the correct term] is Jonas Gunnesson in Norra Ösjö[?] of Hishult county in Halland, so it seems far from unlikely the father of Gunne might have some connection to Hishult.
Later in 1871, the family can be found in Hannabad Westregård [on the page for Pehrsbacken, the widow is said to be owner and living in Hannabad Westregård] [Markaryd (G) AI:9 (1871-1876) bild 194 / sid 184 (AID: v19087.b194.s184, NAD: SE/VALA/00245)]. Gustawa is noted to have been born in Markaryd 1811-07-22, becoming a widow 1841-07-13 and dying 1876-08-07. Both her daughters are still there, but Gunne is not, so it seems likely he can be the one noted to have left Markaryd in 1865.
I haven´t really checked if there is another Gunne Svensson that could be the one moving in 1865, so I leave that as an excercise, but I'd say it's likely this is the right person and therefore the right parents (which of course is the next thing to work on...).
Regards, Stefan, Järfälla