Mr. and Mrs. Charles Frederick Baarcke Jr. of Mount Pleasant, S.C., announce the engagement of their daughter Caroline Marshall Baarcke to Bryan Arthur Wyker, both of Charlotte, N.C. Mr. Wyker is the son of Dr. and Mrs. Arthur Townsend Wyker of Kingsport.Miss Baarcke is the granddaughter of the late Mr. and Mrs. Frank Davis Green, formerly of Rock Hill, S.C., and the late Mr. and Mrs. Charles Frederick Baarcke, formerly of Union, S.C. She graduated from Porter-Gaud School and earned a bachelor of arts degree in finance from Wofford College. She is employed by UBS Financial Services.Mr. Wyker is the grandson of Mrs. Richard David Brockman of Kingsport, the late Mr. Brockman, Dr. Arthur William Wyker Jr. of Charlottesville, Va., and the late Mrs. Wyker. He graduated from The McCallie School and earned a bachelor of arts degree in economics from the University of Virginia. He is employed as a commercial real estate broker with The Providence Group.The wedding is planned for Nov. 13, 2010, at Grace Episcopal Church, Charleston, S.C.