Thereafter William Dawson sailed to North America, primarily Canada from homeports such as Liverpool and later Alloa.

In January 1819, Lloyd's List reported that a heavily laden vessel had run foul of William Dawson, Scott, master, in the Hooghly River.

She sailed from Martinique on 9 September and arrived at Liverpool on 21 October By one report, on 8 May 1824 Matthew and Thomas foundered in the Atlantic Ocean.

On 14 July 1831 William Dawson, Mitchell, master, on her way from Miramichi to Shields, went on shore at Goswick, near Holy Island.

On 20 April 1836 William Dawson, Beveridge, master, had to put into Greenock as she had sprung a leak.