The Town Field men went down 2-1 at home to the unbeaten Conference North leaders.
After a goalless first half, Andy Appleton’s penalty stroke was sandwiched in between two goals by Charlie Stubbins.
The two sides meet again in the north east on Sunday before the mid-season break.
Meanwhile, Doncaster’s ladies lost their unbeaten record in the Northern Premier Division as they lost 3-0 to Durham’s second string - and dropped to fourth in the table as a result.
Doncaster enjoyed plenty of possession but failed to take their chances. They host Fylde, the new league leaders, on Saturday at noon.