Some of them, supposedly, did continue on to the Holy Land, but it’s not possible to say exactly how many. We have no record of them after they left Lisbon, so if they arrived, they didn’t do anything that distinguished them from the other crusaders.

Everyone was ultimately recruited due to the preaching campaigns after Pope Eugenius issued the bull Quantum praedecessores in 1146. Bernard of Clairvaux preached in Flanders and the Rhineland, and both Eugenius and Bernard wrote letters to English bishops. The major Englsh lords and barons weren’t very interested, but the lower aristocracy and merchants were, and they assembled a fleet beginning in May 1147. They were mostly from the North Sea coast (Norfolk, Suffolk, Kent, Southampton), and from the city of London as well, and they were joined by ships from Flanders and German crusaders from the Rhineland and the Weser River region. There were also Scots, Bretons, and Aquitanians. The highest-ranking person was a guy named Arnold, Count of Aerschot in Flanders.

They all agreed to meet at Dartmouth in England, and left on May 23, 1147. We don’t really know how they organized this, but presumably there was an extensive network of trade networks between England, Flanders, and the lower Rhine, as there was in later centuries.

“A mass of letters and messages must have moved round northern Europe to plan this rendezvous. The news of each region’s interest in the crusade would have become apparent and someone made an executive decision, probably based on the practicalities of sailing routes, to muster at Dartmouth.” (Phillips, 142)

There were at least 164 and maybe as many as 200 ships, carrying maybe 10,000 men. There is some debate about whether they had been in contact with the Portuguese beforehand, or whether their arrival was just a coincidence at a time when the Portuguese were already trying to capture other Muslim-held cities. But in any case, the fleet arrived at Lisbon and after a few months besieging it, it was captured in October.

The fleet stayed there over the winter. Some stayed for good - the first Bishop of Lisbon was an English priest named Gilbert of Hastings. But

“On February 1, the fleet set sail, as they had vowed, for Jerusalem.” (Phillips, 166)

The few English barons who joined the crusade travelled by land with Louis VII of France, so if this fleet continued on to Jerusalem, it would have met Louis’ crusade there. That part of the crusade ended up being a massive failure, as it was defeated at Damascus in 1148.

So unfortunately there isn’t much to say about how the fleet was recruited and organized, and while there is a lot of info about the Siege of Lisbon itself, we know nothing about what the fleet did once it arrived in the Holy Land, or even it ever did arrive, and aside from Gilbert of Hastings, we have no idea who stayed in Lisbon and who continued on.

Sources:

Jonathan Phillips, The Second Crusade: Extending the Frontiers of Christendom (Yale University Press, 2007) - the most recent history of the Second Crusade, dealing with all of its fronts, in Damascus, Lisbon, and the Baltic. It also has a huge bibliography, for everything you could possibly want to know about this crusade.

Charles Wendell David, trans., The Conquest of Lisbon: De Expugnatione Lyxbonensi (Columbia University Press, 1936, repr. 2001) - this is the main account of the siege, written by an English priest. Unfortunately the priest’s account starts after the fleet was recruited and ends before it continues on to the Holy Land. The translation is a bit old but the 2001 edition has a new introduction by Phillips.

Charles West, "All in the same boat? East Anglia, the North Sea world and the 1147 expedition to Lisbon", in East Anglia and its North Sea World in the Middle Ages, ed. David Bates and Robert Liddiard (2013) - as far as I know this is the most recent study of the fleet and how it might have been recruited.

Christopher Tyerman, England and the Crusades (University of Chicago Press, 1988) - a bit old now too, but still a good source for England’s participation in the crusades in general.