Last week was almshouses, this week is a glebe. Trying to ascertain the origins of place names one quickly learns that most fall into one of two categories: the name of a prominent family in the area; or, the name of some now arcane feature of historical society. If you already know what a "glebe" is, you'll likely snicker at the fact that after mulling through several historic tomes I could find no record of anyone by the name of "Glebe" ever having inhabited the area.
Then, I found record of a Glebe Creek on the eastern shore (off the Wye River). It turns out the word "glebe" refers to parish, or church, land. The drainage for Glebe Creek sits almost in the center of what was once (circa late 1600s) All Hallow's Parish. All Hallow's Parish Church, established by the King and Queen of England in 1692, still remains, basically at the intersection of South River Clubhouse Road and Route 2, just atop the drainage areas for Glebe and Beard's Creeks.
The publication above refers to the 100-acre preserve around the headwaters of Glebe Creek, just north of Route 214, and was put together by the Alliance for Sustainable Communities and describes some of the plant and animal communities in the watershed.
By one account, Glebe Creek was formerly known as Burgess Creek, after a prominent land owner in the area, William Burgess. However, I have also seen the name assigned to Almshouse Creek in other sources.