Did you had a look at the Civil Registration records or the Church birth/marriage/death records in the statearchives in Arnhem? There are lots of Ter W(h)eemes in it.
I myself have the following Ter W(h)eeme's in my database:
Hendrika ter Weeme (date/place of birth unknown), married on 31st oct 1868 to Gerrit Jan Brinks, farmer, born on april 29th 1843 in Bathmen, died sep 5th 1923 in Bathmen, sun of Derk Jan Brinks and Alberdina Klumper.
Harmen Whemink, born before 1720 (place of birth unknown). Married with Engele N.N., born before 1722
From this marriage:
1. Aaltjen ter Wheeme (Whemink). Christened on jan 17th 1740 in Neede. Churchmarriage in Neede on dec 22nd 1765 with Bernardus Elferink, christened on sep 30st 1734 in Neede, son of Gerrit Elferink and Henderica (Henders) Bonkink
2. Henderik ter Wheeme, christened on sep 3rd 1741 in Neede.
3. Grietjen Whemink, christened on sep 11th 1743 in Neede.
Churchmarriage in Neede on may 3rd 1772 te Neede, with Gosen Leppink, born before 1752. Sun of Albert Leppink.