In 1890 Stoddart again showing his openness to new ventures, became a founding member of the Barbarians, the invitational rugby club.
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He took over the captaincy early in the tour when the Robert L. Seddon died in a sculling accident.
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In 1888, with fellow cricketers Alfred Shaw and Arthur Shrewsbury he helped organise what became recognised as the first British Lions rugby union tour of Australia and New Zealand in 1888.
The captaincy of the team, following Seddon's death, passed onto Andrew Stoddart.
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He had ventured up river alone, and his team mates Jack Anderton and Andrew Stoddart found him dead some time later.
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The captaincy was then passed to Andrew Stoddart a future England rugby captain and Wisden Cricketer of the Year.
Clifford Goodman and Archie Cumberbatch took 9 wickets each for the West Indians as did Andrew Stoddart for the tourists.