Definition of "searchingly"

Away to the left along a side track his eyes travelled searchingly, as they came to a gate.

1902, Barbara Baynton, edited by Sally Krimmer and Alan Lawson, Bush Studies (Portable Australian Authors: Barbara Baynton), St Lucia: University of Queensland Press, published 1980, page 50

'Hey, what's that?' he exclaimed gruffly, staring searchingly at her as he took her hand.

1956 , Johanna Spyri, Heidi, translation of original by Eileen Hall, page 48