The only association I can find of a Henry COURTEEN with the British Lion, Parkend, is in the Gloucestershire Chronicle, Saturday 21 January 1854. He was giving evidence to the inquest on Henry JONES, blacksmith, who had been murdered some ten days before (by a man who was also called Henry JONES) and identified himself and the inn. I imagine this is him with a birth date of c1817.

GR 1851 Census, West Dean, Parkend
Henry COURTEEN, Head, Mar, 34, Publican, born West Dean, Gloucestershire.
Elizabeth BARNS, Serv, Un, 18, Newland, Gloucestershire

From this site this is a candidate,

Record_ID: 394330
Entry_Number: 184
Year: 1816
Month: Aug
Day: 10
Parents_Surname: COURTEAN
Child_Forenames: Henry
Fathers_Forenames: Henry
Mothers_Forenames: Anne
Mothers_Surname:
Residence: Redbrook
Occupation: Barge Owner
Officiating_Minister: P M Procter-Vicar
Event: Baptism
Memoranda:
Notes:
Register_Reference: P227 IN 1/6
Page_Number: 23
Parish_Chapel: Newland
Soundex: C635

There are other glimpses of him in the 1850s papers when he is hosting Pigeon Matches at the British Lion. He was made bankrupt in 1858 but then moved on to the White Hart at Cinderford.

GR 1861 Census, White Hart, Cinderford
Henry COURTEEN, Head, Mar, 44, Inn Keeper, born Gloster, Newland
Eliza, Wife, Mar, 35, Monmouth
Arthur, Son, 16, Gloster, West Dean
Eliza M, Daur, 8, Gloster, West Dean
Ellen, Daur, 6, Gloster, West Dean
Kate, Daur, 4, Gloster, West Dean
Clara. Daur, 2, Gloster, West Dean
Harriet EVERETT, Servant, Un, 23, Gloster, East Dean

Clearly he wasn’t the same Henry as in the first post but I can’t imagine he wasn’t related.