Marriage record says he is from Truust.

CENSUS 1787 (Horn, Tvilum, Skanderborg S490)1339 does not appear - wife widowed.
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Possibilities for his birth in Tvilum Sogn (Tvilum, Skanderborg 1684-1750 S489)1379:

No boys named Rasmus in Tvilum Sogn 1705-1708.
Faarvang, 3 Trin (16 Jun) 1709: Laurs Peders Rasmus (p 34 (39/146) n 7 left)
Truust, F Nat (25 Dec) 1711… eod: Poul Soldates Rasmus af Truust (p 37 (42/146) n 6 right)
voel, dom Reminis (12 Mar) 1713: Peder Foged Rasmus (p 39 (44/146) 1713 n 4 right)
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Possible mention of Probate Record on brejl.dk (15 Dec 1787, Tvilum, Gjern, Skanderborg, Danmark S694)1410:

“113 Afkald. Them 15.12.1787, side 358.
Afkald fra Søren Rasmussen i Them for arv efter far Rasmus Pedersen sst. og mor Anne Christensdatter.”
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Children:

No deaths/stillbirths to 1751 in Truust or Horn.
No add’l children in all Tvilum 1743-1748, or to 1759 in Horn.
Possible Previous Marriage: Horn Rasmus P. & Anne Andersdatter af Horn. No others back to 1710.