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Daniel's name was transcribed as David (1881 census), Daniel (1891) and Donald (1891). Dan/Don was a common substitution at that time, whether by mistake, or as nick-name. Daniel Moreshead gave his year of birth as 1869 in the 1891 census, and as July 20 1869 in 1901. This is the closest match in the PEI Baptismal Index:

William Daniel Mooreshed, "Prince Edward Island Baptism Card Index, 1721-1885"
Name: William Daniel Mooreshed
Event Type: Baptism
Event Date: 15 Apr 1869 (b. July 20 1868)
Event Place: O'Leary , Prince Edward Island
Father's Name: George Mooreshed
Mother's Name: Bridget
Book Number: 1
Page: 70
GS Film number: 1487759
Digital Folder Number: 004594551
Image Number: 03522

From other records for George and Bridget, this would seem to be his family:

Name: George Moreshed
Age: 40y Birth Year: 1841
Birthplace: Prince Edward Island
Marital Status: Married
Occupation: Farmer
Ethnicity: English
Religion: B CHRISTIAN
Head of Household Name: George Moreshed
Born During Last Year:
Event Place: Lot 7, Prince, Prince Edward Island, Canada
Household Gender Age Birthplace
George Moreshed M 40y Prince Edward Island
Mary Moreshed F 40y Prince Edward Island - Daniel's second daughter was named Mary Bridget
David Moreshed M 12y Prince Edward Island
Lemuel Moreshed M 11y Prince Edward Island
John Moreshed M 9y Prince Edward Island (gave his mother's name as Bridget O'Brien on his marriage record in Massachusetts; year of birth on record was 1871)
Citing this Record "Canada Census, 1881," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MVN7-4DY : accessed 19 Jul 2013), George Moreshed, Lot 7, Prince, Prince Edward Island, Canada.

George Moreshead lived next to Henry Dyment.
On the transcription of his marriage record, his name was William David.