The arms on these tapestries are the follwing:
Arms with two lions, a tower and the fleur-de-lys, an alliance with the Salamanca family of Castille, Spain.
Arms with an eagle, a tower and a cross, probably the Arias family of Segovia, Spain.
Arms with star, probably the Lucio family of Aragon, Spain.
Arms with bands, not identified.
A further pair of armorial tapestries with similar borders and by the same weaver are in the Muses Communaux in Bruges (G. Delmarcel and E. Duverger, Bruges et la Tapisserie, Bruges, 1987, pp. 222 - 227, cats. 11 and 12). Interestingly the arms on those tapestries are those of the Nagera family, a Basque-Spanish family, involved in the import of Spanish silk to Bruges during the 16th Century.