Might be your man Robert Wollis born or baptised 3 April 1616, Dumfries, son of Johne Wollis. No mother's details. Parish number 821/ Ref: 10 62. Source: Church registers - Old Parish Registers Births and Baptisms, Scotlands People.
https://www.scotlandspeople.gov.uk/
This https://www.familysearch.org/ark:/61903/1:1:XT1R-LQX
seems to be the baptismal record referred to in the profile. However, the father is not Sir John Wallace. It is Johne Wollis, who is the same father of a daughter Barbara Wollis:
https://www.familysearch.org/ark:/61903/1:1:XYLW-4ZJ