Started looking through NEGHS. I didn't find anything about George yet, but I see there are a bunch of Samuel Allens including several in Braintree and several in Windsor.
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Braintree records:
Birth 1632 in Braintree, MA: Samuel Sr. Allen Bridgewater HR 1693M, 93N; deacon; town clerk 1683-1702; M Sarah Partridge (1639-a1680) in c1658, 10 ch; farmer; will. One of the original landed proprietors of East Bridgewater. In King Philip's War.
ALLEN Sarai d. Samuel & Anne 30 - 1 - 1639 (Mar. 30) VR1 1639 Birth
ALLEN Allen Anne w. Samuel 29-7-1641 (Sept. 29) - VR1 1641 Death
ALLEN Joseph Allen Son of Mr. Samuel Allen was born the 15th of May Anno Dom: 1650
Windsor records:
1648 Samuel ALLYN, ALLYEN, ALLYN, ALLN, [see also ALLEN, ALLIN] Death Windsor, CT