Hi DonnaMarie,
The CLEMENTS and DALWAY names are very well known in Co. Antrim.
The former hailed from CLEMENTS' Hill in Ballynure parish (just East of Ballyclare town).
[Their famous "son" is Mark Twain (aka Samuel CLEMENS), the famous American author.]
John DALWAY was a soldier.
He came across to Carrickfergus as part of the army under the Earl of Essex (DEVEREUX) in 1573.
[DEVEREUX was Queen Elizabeth 1st's new fancy piece, after the Earl of Leicester died.
Her aim was to bring the Ulster Lords (O'NEILL, O'DONNELL, MacGUIRE) to heel.
He (famously) let her down, making a deal in the middle of a stream, then abandoning his post.]
DALWAY built DALWAY's Bawn near Carrickfergus.
Such was a fortified house/farm.
https://carrickfergushistory.co.uk/dalway-the-cassie-and-the-cattle-empire/Built according to King JAMES (STEWART) 1st's specification for the 1612 Ulster Plantation.
[Notwithstanding that Co. Antrim was NOT officially part of this venture.
A deal having been made already with the Early of Antrim in 1605.]
Participants were awarded 1,000 acres of land, and the (newly created) title of Baronet.
[This gave King James leverage to threaten the obstreperous Barons with demotion/replacement.
Such "sat" on the the next higher rung of the aristocracy.
They were not happy about the regal succession, despite the unassailable DNA evidence .]
In return they had to promise to populate the lands with a prescribed density of "loyal" settlers.
Then also, importantly, to pay him £1,000!
[To replenish the regal coffers which Elizabeth had decimated during her "Irish Wars".]
Many soldiers were offered grants of lands as rewards for their efforts.
[To be interpreted as "in lieu of back pay".
Such was very common in many many military expeditions.]
Many lands within Co. Donegal were allocated to King James STEWART's relatives.
[If you were a soldier you were designated a "Servitor" and could get a minimum 2,000A.
If not, you were designated an "Undertaker" and could get (multiples of) 1,000A, pro rata.]
There were many native DOYLEs (Oops, correction: DALYs) there.
[Modern English Language spelling.]
Apparently there, and elsewhere, the DALWAY spelling is considered to be a "better" representation for the pronounciation of the original DÁLACH Gaelic surname.
Ref: The Book of Ulster Surnames, Robert BELL. ISBN 0-85640-405-5. P.49
Many folks went out West at the start of the Plantation, but then migrated Eastward.
[Due to the many engagements/setbacks involved in the 1641 Rebellion & then the Jacobite wars.
Such involved many scarperings across the sea to Scotland, then back again.
e.g. the ancestors of W.F. McKINNEY, the famous genealogist of Carnmoney.]
The Valley of the Lagan (S/W from Belfast) and the shores of Lough Neagh were areas of heavy English Settlement.
[The latter was renowned for its plethora of orchards. Known as "Little England".]
Capt. Jock
P.S Straid lies a few miles SE of Ballynure village, on the road from Ballyclare to Carrickfergus.