yes - Manx custom was for illegitimate children to take father's name if known or if woman affiliated child + man did not object - however there should be a presentment for fornication tho by this period Braddan (mother church for Douglas) + many of the churches in Douglas did not appear to do so.
There may have been an Irish or Scots marriage - usually then the local clergy would ask to see marr cert otherwise I'd have expected to see note re illegit status in baptismal reg