The daughter is Adam senior's. Sorry, I can't help with Adam junior's birth certificate.
Adam senior was born at Blair Athol, Perthshire 1/3/1860 to James Stewart (born Ross-shire 1839c) and his wife, married Kirkmichael, Perthshire 1857, Jane Sim (born there 1840c). James was a ploughman with his family at Easter Invervack, Blair Athol in 1861 and a shepherd at Crossroads, Cargill, Perthshire in 1871. James and Jane's other children, all born B/A except the eldest & youngest, were Susan b Dalmeny, West Lothian 1858, Jane 1862, James 1864, Margaret Ann b Cargill 1868c.
Adam and Ann's other children (there may have been more!) were Christina Sharp Taylor b Methil, Fife 1879, Thomas A b Kirkcaldy, Fife 1889c, Jane A b Kroan Perak, Malay 1894c.