This is the file summary from Maryland Militia War of 1812, Vol. 7, Montgomery County, page 38.   I have noted and underlined the Dwyer-Price connection found in the 1883 entries:

PRICE Elias/W.O. 34432/W.C. 33988/Capt John Heater/30 Oct 1850 app Elias Price 61, res Mtg Co; states he vol Mtg Co around 1 Aug 1814; disch Balt around 25 Sep 1814/Statement of Aug 12 1852 of Elias Price that he was very sick and being in his own county, obtained leave from his Captain to remain a few days until he was able to march. He was absent 2 or 3 days only; his neighbour, William Woodward, was just about to send to Harford County for his wife who was then in Harford. And that this deponent immediately applied and obtained leave from Mr. Woodward to ride one of his horses as far as Balt, which he did, and joined his company at Balt on the evening of the the 30th or 31st of Aug and continued in his said company until they were discharged/

14 Aug 1852 app acq John Millican who also served in Capt John Heater's company/

23 Apr 1855 app Elias Price 64, res Mtg co; wit: Zachariah L. Magruder and John S. Ayton, res Mtg Co/

26 Oct 1878 app Deborah Price 73; she states they married 1825 by cohabitation and public acknowledgement of each other as man and wife; he died near Brookeville, Mt. Co 11 Jun 1868; her adddress: Olney, Mtg Co; acq Reuben W. Young and Jonathan D. Barnsley, res Olney/

28 Nov 1883 app Peter Colleton 52, acq for 20 years; states that Elias Price had 3 children who are living/

28 Nov 1883 app William Dwyer 63, nephew of Elias Price; Elias Price died 16 June 1868; acq George W. Parsley 60; acq 40 years; states that Elias Price and Deborah Price had 3 children, the oldest now being about 45/

Mrs. Price died Apr 28 1882 according to Henry Harris, Justice of Peace, Olney/

Note from John E. Price regarding his father, Elias Price, dated Dec. 29 1884.