According to the household examination records, there is a coxswain [coopv. styrman] Maths Serenius in Möja parish from 1784 to 1793, who is noted to be born 25 January 1760 in Masko [Möja (AB) AI:2 (1779-1800) p. 38]. Could this possibly be the same person as Mats Eriksson Serenius? The birth date is close enough, and only one year of difference.
When he married in 1784, he was living in Stockholm. [Möja (AB) CI:1 (1769-1817) p. 54]
He died in Möja 10 March 1801. [Möja (AB) CI:1 (1769-1817) p. 40]